382978018574856 has 128 divisors (see below), whose sum is σ = 1074569138496000. Its totient is φ = 126375675944256.

The previous prime is 382978018574821. The next prime is 382978018574867. The reversal of 382978018574856 is 658475810879283.

382978018574856 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 7 + 80 + 1 + 8 + 57 + 485 + 6 = 666.

It is a super-3 number, since 3×382978018574856³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7961686 + ... + 28798341.

It is an arithmetic number, because the mean of its divisors is an integer number (8395071394500).

It is a 1-persistent number, because it is pandigital, but 2⋅382978018574856 = 765956037149712 is not.

Almost surely, 2^{382978018574856} is an apocalyptic number.

382978018574856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

382978018574856 is an abundant number, since it is smaller than the sum of its proper divisors (691591119921144).

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

382978018574856 is a wasteful number, since it uses less digits than its factorization.

382978018574856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36760528 (or 36760518 counting only the distinct ones).

The product of its (nonzero) digits is 6502809600, while the sum is 81.

The spelling of 382978018574856 in words is "three hundred eighty-two trillion, nine hundred seventy-eight billion, eighteen million, five hundred seventy-four thousand, eight hundred fifty-six".