372564314382312 has 1536 divisors, whose sum is σ = 1242631938240000. Its totient is φ = 102597753323520.

The previous prime is 372564314382287. The next prime is 372564314382313. The reversal of 372564314382312 is 213283413465273.

372564314382312 is a `hidden beast` number, since 3 + 7 + 2 + 5 + 6 + 4 + 314 + 3 + 8 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (17418240) is a multiple of the sum of its prime factors (2304).

It is not an unprimeable number, because it can be changed into a prime (372564314382313) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 178345769364 + ... + 178345771452.

It is an arithmetic number, because the mean of its divisors is an integer number (809005168125).

Almost surely, 2^{372564314382312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372564314382312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621315969120000).

372564314382312 is an abundant number, since it is smaller than the sum of its proper divisors (870067623857688).

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

372564314382312 is a wasteful number, since it uses less digits than its factorization.

372564314382312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2263 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 372564314382312 in words is "three hundred seventy-two trillion, five hundred sixty-four billion, three hundred fourteen million, three hundred eighty-two thousand, three hundred twelve".