641153463456 has 192 divisors, whose sum is σ = 1859195068416. Its totient is φ = 191852697600.

The previous prime is 641153463407. The next prime is 641153463487. The reversal of 641153463456 is 654364351146.

It is a happy number.

It is a super-2 number, since 2×641153463456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27620751 + ... + 27643953.

It is an arithmetic number, because the mean of its divisors is an integer number (9683307648).

Almost surely, 2^641153463456 is an apocalyptic number.

641153463456 is a gapful number since it is divisible by the number (66) 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 641153463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929597534208).

641153463456 is an abundant number, since it is smaller than the sum of its proper divisors (1218041604960).

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

641153463456 is a wasteful number, since it uses less digits than its factorization.

641153463456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23555 (or 23547 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 641153463456 in words is "six hundred forty-one billion, one hundred fifty-three million, four hundred sixty-three thousand, four hundred fifty-six".