345401138313 has 24 divisors (see below), whose sum is σ = 622021098816. Its totient is φ = 179429162400.

The previous prime is 345401138309. The next prime is 345401138333. The reversal of 345401138313 is 313831104543.

345401138313 is a `hidden beast` number, since 3 + 454 + 0 + 113 + 83 + 13 = 666.

It is not a de Polignac number, because 345401138313 - 2² = 345401138309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345401138333) 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, 249206478 + ... + 249207863.

It is an arithmetic number, because the mean of its divisors is an integer number (25917545784).

Almost surely, 2^345401138313 is an apocalyptic number.

345401138313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345401138313 is a deficient number, since it is larger than the sum of its proper divisors (276619960503).

345401138313 is a wasteful number, since it uses less digits than its factorization.

345401138313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498414365 (or 498414362 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 345401138313 in words is "three hundred forty-five billion, four hundred one million, one hundred thirty-eight thousand, three hundred thirteen".