13057661412 has 18 divisors (see below), whose sum is σ = 33006866438. Its totient is φ = 4352553792.

The previous prime is 13057661399. The next prime is 13057661413. The reversal of 13057661412 is 21416675031.

13057661412 is a `hidden beast` number, since 1 + 30 + 5 + 7 + 6 + 614 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12919504896 + 138156516 = 113664^2 + 11754^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 362712817 = 13057661412 / (1 + 3 + 0 + 5 + 7 + 6 + 6 + 1 + 4 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (13057661413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181356373 + ... + 181356444.

Almost surely, 2^13057661412 is an apocalyptic number.

13057661412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13057661412 is an abundant number, since it is smaller than the sum of its proper divisors (19949205026).

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

13057661412 is a wasteful number, since it uses less digits than its factorization.

13057661412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362712827 (or 362712822 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13057661412 in words is "thirteen billion, fifty-seven million, six hundred sixty-one thousand, four hundred twelve".