93476868089472 has 1536 divisors, whose sum is σ = 342627306577920. Its totient is φ = 24785327407104.

The previous prime is 93476868089461. The next prime is 93476868089513. The reversal of 93476868089472 is 27498086867439.

93476868089472 is a `hidden beast` number, since 9 + 3 + 4 + 7 + 6 + 8 + 68 + 0 + 89 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 93476868089391 and 93476868089400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113580641253 + ... + 113580642075.

It is an arithmetic number, because the mean of its divisors is an integer number (223064652720).

Almost surely, 2^{93476868089472} is an apocalyptic number.

93476868089472 is a gapful number since it is divisible by the number (92) 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 93476868089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171313653288960).

93476868089472 is an abundant number, since it is smaller than the sum of its proper divisors (249150438488448).

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

93476868089472 is a wasteful number, since it uses less digits than its factorization.

93476868089472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 7023034368, while the sum is 81.

The spelling of 93476868089472 in words is "ninety-three trillion, four hundred seventy-six billion, eight hundred sixty-eight million, eighty-nine thousand, four hundred seventy-two".