13752304986672 has 160 divisors (see below), whose sum is σ = 45748781890560. Its totient is φ = 3873888668160.

The previous prime is 13752304986619. The next prime is 13752304986691. The reversal of 13752304986672 is 27668940325731.

It is a happy number.

13752304986672 is a `hidden beast` number, since 1 + 3 + 7 + 52 + 30 + 498 + 6 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31811493 + ... + 32240900.

It is an arithmetic number, because the mean of its divisors is an integer number (285929886816).

It is a 1-persistent number, because it is pandigital, but 2⋅13752304986672 = 27504609973344 is not.

Almost surely, 2^{13752304986672} is an apocalyptic number.

13752304986672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13752304986672 is an abundant number, since it is smaller than the sum of its proper divisors (31996476903888).

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

13752304986672 is a wasteful number, since it uses less digits than its factorization.

13752304986672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64052488 (or 64052476 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 13752304986672 in words is "thirteen trillion, seven hundred fifty-two billion, three hundred four million, nine hundred eighty-six thousand, six hundred seventy-two".