641150686442160 has 1600 divisors, whose sum is σ = 2398697834227200. Its totient is φ = 158896403398656.

The previous prime is 641150686442111. The next prime is 641150686442183. The reversal of 641150686442160 is 61244686051146.

641150686442160 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 506 + 86 + 4 + 42 + 16 + 0 = 666.

641150686442160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641150686442160² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 641150686442097 and 641150686442106.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 635431799736 + ... + 635431800744.

It is an arithmetic number, because the mean of its divisors is an integer number (1499186146392).

Almost surely, 2^{641150686442160} is an apocalyptic number.

641150686442160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641150686442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199348917113600).

641150686442160 is an abundant number, since it is smaller than the sum of its proper divisors (1757547147785040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

641150686442160 is a wasteful number, since it uses less digits than its factorization.

641150686442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 641150686442160 in words is "six hundred forty-one trillion, one hundred fifty billion, six hundred eighty-six million, four hundred forty-two thousand, one hundred sixty".