312456146688 has 864 divisors, whose sum is σ = 1158318120960. Its totient is φ = 78939463680.

The previous prime is 312456146671. The next prime is 312456146689. The reversal of 312456146688 is 886641654213.

312456146688 is a `hidden beast` number, since 3 + 1 + 2 + 45 + 61 + 466 + 88 = 666.

It is a super-2 number, since 2×312456146688² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312456146689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303060733 + ... + 303061763.

Almost surely, 2^312456146688 is an apocalyptic number.

312456146688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312456146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579159060480).

312456146688 is an abundant number, since it is smaller than the sum of its proper divisors (845861974272).

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

312456146688 is a wasteful number, since it uses less digits than its factorization.

312456146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1128 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 312456146688 in words is "three hundred twelve billion, four hundred fifty-six million, one hundred forty-six thousand, six hundred eighty-eight".