312954074160 has 480 divisors, whose sum is σ = 1218392017920. Its totient is φ = 65865332736.

The previous prime is 312954074137. The next prime is 312954074317. The reversal of 312954074160 is 61470459213.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67111989 + ... + 67116651.

It is an arithmetic number, because the mean of its divisors is an integer number (2538316704).

Almost surely, 2^312954074160 is an apocalyptic number.

312954074160 is a gapful number since it is divisible by the number (30) 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 312954074160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609196008960).

312954074160 is an abundant number, since it is smaller than the sum of its proper divisors (905437943760).

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

312954074160 is a wasteful number, since it uses less digits than its factorization.

312954074160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 312954074160 in words is "three hundred twelve billion, nine hundred fifty-four million, seventy-four thousand, one hundred sixty".