12929374913536 has 99 divisors (see below), whose sum is σ = 26001389486541. Its totient is φ = 6426083549184.

The previous prime is 12929374913501. The next prime is 12929374913591. The reversal of 12929374913536 is 63531947392921.

The square root of 12929374913536 is 3595744.

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

It can be written as a sum of positive squares in only one way, i.e., 82483840000 + 12846891073536 = 287200^2 + 3584256^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36014971725 + ... + 36014972083.

Almost surely, 2^{12929374913536} is an apocalyptic number.

12929374913536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12929374913536 is the 3595744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12929374913536

12929374913536 is an abundant number, since it is smaller than the sum of its proper divisors (13072014573005).

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

12929374913536 is an frugal number, since it uses more digits than its factorization.

12929374913536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 674 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 64.

Multiplying 12929374913536 by its sum of digits (64), we get a square (827479994466304 = 28765952²).

12929374913536 divided by its sum of digits (64) gives a square (202021483024 = 449468²).

The spelling of 12929374913536 in words is "twelve trillion, nine hundred twenty-nine billion, three hundred seventy-four million, nine hundred thirteen thousand, five hundred thirty-six".