13761364032 has 84 divisors (see below), whose sum is σ = 42478678060. Its totient is φ = 4234263552.

The previous prime is 13761363971. The next prime is 13761364033. The reversal of 13761364032 is 23046316731.

13761364032 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 1 + 3 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9128655936 + 4632708096 = 95544^2 + 68064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13761364033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 911407 + ... + 926382.

Almost surely, 2^13761364032 is an apocalyptic number.

13761364032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13761364032 is an abundant number, since it is smaller than the sum of its proper divisors (28717314028).

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

13761364032 is a wasteful number, since it uses less digits than its factorization.

13761364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837820 (or 1837807 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13761364032 in words is "thirteen billion, seven hundred sixty-one million, three hundred sixty-four thousand, thirty-two".