93996147548160 has 1792 divisors, whose sum is σ = 395346692160000. Its totient is φ = 20887696834560.

The previous prime is 93996147548129. The next prime is 93996147548257. The reversal of 93996147548160 is 6184574169939.

It is a happy number.

93996147548160 is a `hidden beast` number, since 9 + 3 + 9 + 9 + 6 + 14 + 7 + 548 + 1 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23563835446 + ... + 23563839434.

It is an arithmetic number, because the mean of its divisors is an integer number (220617573750).

Almost surely, 2^{93996147548160} is an apocalyptic number.

93996147548160 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 93996147548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197673346080000).

93996147548160 is an abundant number, since it is smaller than the sum of its proper divisors (301350544611840).

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

93996147548160 is a wasteful number, since it uses less digits than its factorization.

93996147548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 93996147548160 in words is "ninety-three trillion, nine hundred ninety-six billion, one hundred forty-seven million, five hundred forty-eight thousand, one hundred sixty".