93246537400896 has 448 divisors, whose sum is σ = 284082450416640. Its totient is φ = 26696355840000.

The previous prime is 93246537400867. The next prime is 93246537401023. The reversal of 93246537400896 is 69800473564239.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32706605871 + ... + 32706608721.

Almost surely, 2^{93246537400896} is an apocalyptic number.

93246537400896 is a gapful number since it is divisible by the number (96) 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 93246537400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142041225208320).

93246537400896 is an abundant number, since it is smaller than the sum of its proper divisors (190835913015744).

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

93246537400896 is a wasteful number, since it uses less digits than its factorization.

93246537400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 66.

The spelling of 93246537400896 in words is "ninety-three trillion, two hundred forty-six billion, five hundred thirty-seven million, four hundred thousand, eight hundred ninety-six".