15164737145656 has 96 divisors (see below), whose sum is σ = 33208558416000. Its totient is φ = 6473165678784.

The previous prime is 15164737145609. The next prime is 15164737145711. The reversal of 15164737145656 is 65654173746151.

It is a junction number, because it is equal to n+sod(n) for n = 15164737145594 and 15164737145603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657637855 + ... + 657660913.

It is an arithmetic number, because the mean of its divisors is an integer number (345922483500).

Almost surely, 2^{15164737145656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15164737145656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604279208000).

15164737145656 is an abundant number, since it is smaller than the sum of its proper divisors (18043821270344).

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

15164737145656 is a wasteful number, since it uses less digits than its factorization.

15164737145656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29721 (or 29710 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 61.

The spelling of 15164737145656 in words is "fifteen trillion, one hundred sixty-four billion, seven hundred thirty-seven million, one hundred forty-five thousand, six hundred fifty-six".