92874786816 has 384 divisors, whose sum is σ = 290418186240. Its totient is φ = 25848446976.

The previous prime is 92874786799. The next prime is 92874786839. The reversal of 92874786816 is 61868747829.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×92874786816³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481216416 + ... + 481216608.

It is an arithmetic number, because the mean of its divisors is an integer number (756297360).

Almost surely, 2^92874786816 is an apocalyptic number.

92874786816 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 92874786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145209093120).

92874786816 is an abundant number, since it is smaller than the sum of its proper divisors (197543399424).

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

92874786816 is a wasteful number, since it uses less digits than its factorization.

92874786816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 439 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 92874786816 in words is "ninety-two billion, eight hundred seventy-four million, seven hundred eighty-six thousand, eight hundred sixteen".