93437464412160 has 1760 divisors, whose sum is σ = 373154320120032. Its totient is φ = 22178137374720.

The previous prime is 93437464412147. The next prime is 93437464412189. The reversal of 93437464412160 is 6121446473439.

93437464412160 is a `hidden beast` number, since 9 + 3 + 4 + 3 + 7 + 4 + 64 + 412 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 93437464412097 and 93437464412106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 682025287612 + ... + 682025287748.

Almost surely, 2^{93437464412160} is an apocalyptic number.

93437464412160 is a gapful number since it is divisible by the number (90) 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 93437464412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186577160060016).

93437464412160 is an abundant number, since it is smaller than the sum of its proper divisors (279716855707872).

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

93437464412160 is an frugal number, since it uses more digits than its factorization.

93437464412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 93437464412160 in words is "ninety-three trillion, four hundred thirty-seven billion, four hundred sixty-four million, four hundred twelve thousand, one hundred sixty".