6150805161984 has 768 divisors, whose sum is σ = 22093752844800. Its totient is φ = 1650563481600.

The previous prime is 6150805161953. The next prime is 6150805162079. The reversal of 6150805161984 is 4891615080516.

6150805161984 is a `hidden beast` number, since 6 + 1 + 508 + 0 + 51 + 6 + 1 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6150805161984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5797176814 + ... + 5797177874.

It is an arithmetic number, because the mean of its divisors is an integer number (28767907350).

Almost surely, 2^{6150805161984} is an apocalyptic number.

6150805161984 is a gapful number since it is divisible by the number (64) 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 6150805161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046876422400).

6150805161984 is an abundant number, since it is smaller than the sum of its proper divisors (15942947682816).

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

6150805161984 is a wasteful number, since it uses less digits than its factorization.

6150805161984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 6150805161984 in words is "six trillion, one hundred fifty billion, eight hundred five million, one hundred sixty-one thousand, nine hundred eighty-four".