15112310416896 has 1920 divisors, whose sum is σ = 58812418621440. Its totient is φ = 3385176883200.

The previous prime is 15112310416883. The next prime is 15112310416901. The reversal of 15112310416896 is 69861401321151.

It is a super-2 number, since 2×15112310416896² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8289801841 + ... + 8289803663.

It is an arithmetic number, because the mean of its divisors is an integer number (30631468032).

Almost surely, 2^{15112310416896} is an apocalyptic number.

15112310416896 is a gapful number since it is divisible by the number (16) 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 15112310416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29406209310720).

15112310416896 is an abundant number, since it is smaller than the sum of its proper divisors (43700108204544).

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

15112310416896 is a wasteful number, since it uses less digits than its factorization.

15112310416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 15112310416896 in words is "fifteen trillion, one hundred twelve billion, three hundred ten million, four hundred sixteen thousand, eight hundred ninety-six".