92801212416 has 672 divisors, whose sum is σ = 317975943168. Its totient is φ = 25763512320.

The previous prime is 92801212397. The next prime is 92801212453. The reversal of 92801212416 is 61421210829.

92801212416 is a `hidden beast` number, since 9 + 28 + 0 + 1 + 212 + 416 = 666.

It is a super-2 number, since 2×92801212416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730718145 + ... + 730718271.

Almost surely, 2^92801212416 is an apocalyptic number.

92801212416 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 92801212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158987971584).

92801212416 is an abundant number, since it is smaller than the sum of its proper divisors (225174730752).

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

92801212416 is a wasteful number, since it uses less digits than its factorization.

92801212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 92801212416 in words is "ninety-two billion, eight hundred one million, two hundred twelve thousand, four hundred sixteen".