312415064001 has 24 divisors (see below), whose sum is σ = 458103863360. Its totient is φ = 205122256416.

The previous prime is 312415063903. The next prime is 312415064009. The reversal of 312415064001 is 100460514213.

It is a happy number.

312415064001 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 15 + 0 + 640 + 0 + 1 = 666.

It is not a de Polignac number, because 312415064001 - 2²³ = 312406675393 is a prime.

It is a super-2 number, since 2×312415064001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312415064009) 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, 2756235 + ... + 2867343.

Almost surely, 2^312415064001 is an apocalyptic number.

It is an amenable number.

312415064001 is a deficient number, since it is larger than the sum of its proper divisors (145688799359).

312415064001 is a wasteful number, since it uses less digits than its factorization.

312415064001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115845 (or 115842 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 312415064001 its reverse (100460514213), we get a palindrome (412875578214).

The spelling of 312415064001 in words is "three hundred twelve billion, four hundred fifteen million, sixty-four thousand, one".