816122361600 has 2916 divisors, whose sum is σ = 3866556821400. Its totient is φ = 163437281280.

The previous prime is 816122361589. The next prime is 816122361617. The reversal of 816122361600 is 6163221618.

It is a happy number.

816122361600 is a `hidden beast` number, since 8 + 1 + 6 + 12 + 2 + 36 + 1 + 600 = 666.

It is a super-2 number, since 2×816122361600² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 13832582371 + ... + 13832582429.

Almost surely, 2^816122361600 is an apocalyptic number.

816122361600 is a gapful number since it is divisible by the number (80) 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 816122361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933278410700).

816122361600 is an abundant number, since it is smaller than the sum of its proper divisors (3050434459800).

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

816122361600 is a wasteful number, since it uses less digits than its factorization.

816122361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 816122361600 in words is "eight hundred sixteen billion, one hundred twenty-two million, three hundred sixty-one thousand, six hundred".