312400428345 has 64 divisors (see below), whose sum is σ = 589178810880. Its totient is φ = 156511180800.

The previous prime is 312400428341. The next prime is 312400428391. The reversal of 312400428345 is 543824004213.

312400428345 is a `hidden beast` number, since 31 + 240 + 0 + 42 + 8 + 345 = 666.

It is not a de Polignac number, because 312400428345 - 2² = 312400428341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312400428341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1065060 + ... + 1326330.

It is an arithmetic number, because the mean of its divisors is an integer number (9205918920).

Almost surely, 2^312400428345 is an apocalyptic number.

It is an amenable number.

312400428345 is a deficient number, since it is larger than the sum of its proper divisors (276778382535).

312400428345 is a wasteful number, since it uses less digits than its factorization.

312400428345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261823 (or 261817 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 312400428345 in words is "three hundred twelve billion, four hundred million, four hundred twenty-eight thousand, three hundred forty-five".