15233081149764 has 63 divisors (see below), whose sum is σ = 39969107140557. Its totient is φ = 5077623463344.

The previous prime is 15233081149753. The next prime is 15233081149777. The reversal of 15233081149764 is 46794118033251.

The square root of 15233081149764 is 3902958.

It is a perfect power (a square), and thus also a powerful number.

15233081149764 is a `hidden beast` number, since 1 + 52 + 3 + 30 + 8 + 11 + 497 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13977802916100 + 1255278233664 = 3738690^2 + 1120392^2 .

It is a super-3 number, since 3×15233081149764³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15233081149764.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 210723594 + ... + 210795870.

It is a 1-persistent number, because it is pandigital, but 2⋅15233081149764 = 30466162299528 is not.

Almost surely, 2^{15233081149764} is an apocalyptic number.

15233081149764 is the 3902958-th square number.

It is an amenable number.

15233081149764 is an abundant number, since it is smaller than the sum of its proper divisors (24736025990793).

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

15233081149764 is an frugal number, since it uses more digits than its factorization.

15233081149764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144576 (or 72282 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 15233081149764 in words is "fifteen trillion, two hundred thirty-three billion, eighty-one million, one hundred forty-nine thousand, seven hundred sixty-four".