11257161345 has 24 divisors (see below), whose sum is σ = 19515600000. Its totient is φ = 6002838816.

The previous prime is 11257161341. The next prime is 11257161359. The reversal of 11257161345 is 54316175211.

11257161345 is a `hidden beast` number, since 1 + 1 + 257 + 1 + 61 + 345 = 666.

It is not a de Polignac number, because 11257161345 - 2² = 11257161341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11257161341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320776 + ... + 354134.

It is an arithmetic number, because the mean of its divisors is an integer number (813150000).

Almost surely, 2^11257161345 is an apocalyptic number.

11257161345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11257161345 is a deficient number, since it is larger than the sum of its proper divisors (8258438655).

11257161345 is a wasteful number, since it uses less digits than its factorization.

11257161345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40869 (or 40866 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The spelling of 11257161345 in words is "eleven billion, two hundred fifty-seven million, one hundred sixty-one thousand, three hundred forty-five".