393968983095072 has 3840 divisors, whose sum is σ = 1611970365874176. Its totient is φ = 91299446784000.

The previous prime is 393968983095067. The next prime is 393968983095073. The reversal of 393968983095072 is 270590389869393.

393968983095072 is a `hidden beast` number, since 3 + 9 + 396 + 89 + 8 + 30 + 9 + 50 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 393968983094982 and 393968983095000.

It is not an unprimeable number, because it can be changed into a prime (393968983095073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 756178470172 + ... + 756178470692.

Almost surely, 2^{393968983095072} is an apocalyptic number.

393968983095072 is a gapful number since it is divisible by the number (32) 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 393968983095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805985182937088).

393968983095072 is an abundant number, since it is smaller than the sum of its proper divisors (1218001382779104).

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

393968983095072 is a wasteful number, since it uses less digits than its factorization.

393968983095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

The spelling of 393968983095072 in words is "three hundred ninety-three trillion, nine hundred sixty-eight billion, nine hundred eighty-three million, ninety-five thousand, seventy-two".