80922606336 has 1152 divisors, whose sum is σ = 307679232000. Its totient is φ = 20603289600.

The previous prime is 80922606313. The next prime is 80922606343. The reversal of 80922606336 is 63360622908.

80922606336 is a `hidden beast` number, since 8 + 0 + 9 + 2 + 2 + 6 + 0 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×80922606336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80922606291 and 80922606300.

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 127 ways as a sum of consecutive naturals, for example, 582176955 + ... + 582177093.

Almost surely, 2^80922606336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80922606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153839616000).

80922606336 is an abundant number, since it is smaller than the sum of its proper divisors (226756625664).

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

80922606336 is a wasteful number, since it uses less digits than its factorization.

80922606336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 80922606336 in words is "eighty billion, nine hundred twenty-two million, six hundred six thousand, three hundred thirty-six".