93766321152 has 528 divisors, whose sum is σ = 321065759872. Its totient is φ = 25798901760.

The previous prime is 93766321109. The next prime is 93766321153. The reversal of 93766321152 is 25112366739.

93766321152 is a `hidden beast` number, since 9 + 3 + 7 + 6 + 632 + 1 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 93766321098 and 93766321107.

It is not an unprimeable number, because it can be changed into a prime (93766321153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389071752 + ... + 389071992.

Almost surely, 2^93766321152 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 93766321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160532879936).

93766321152 is an abundant number, since it is smaller than the sum of its proper divisors (227299438720).

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

93766321152 is a wasteful number, since it uses less digits than its factorization.

93766321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 453 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 93766321152 in words is "ninety-three billion, seven hundred sixty-six million, three hundred twenty-one thousand, one hundred fifty-two".