93974906363904 has 784 divisors, whose sum is σ = 293599790183040. Its totient is φ = 30029921648640.

The previous prime is 93974906363887. The next prime is 93974906363917. The reversal of 93974906363904 is 40936360947939.

93974906363904 is a `hidden beast` number, since 9 + 3 + 97 + 4 + 90 + 6 + 363 + 90 + 4 = 666.

It is a super-2 number, since 2×93974906363904² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 20179277544 + ... + 20179282200.

Almost surely, 2^{93974906363904} 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 93974906363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146799895091520).

93974906363904 is an abundant number, since it is smaller than the sum of its proper divisors (199624883819136).

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

93974906363904 is an equidigital number, since it uses as much as digits as its factorization.

93974906363904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 714256704, while the sum is 72.

The spelling of 93974906363904 in words is "ninety-three trillion, nine hundred seventy-four billion, nine hundred six million, three hundred sixty-three thousand, nine hundred four".