73321649200512 has 256 divisors, whose sum is σ = 227892496320000. Its totient is φ = 23143808083968.

The previous prime is 73321649200453. The next prime is 73321649200559. The reversal of 73321649200512 is 21500294612337.

It is a happy number.

73321649200512 is a `hidden beast` number, since 7 + 3 + 32 + 16 + 4 + 92 + 0 + 0 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146640789 + ... + 147139947.

It is an arithmetic number, because the mean of its divisors is an integer number (890205063750).

Almost surely, 2^{73321649200512} is an apocalyptic number.

73321649200512 is a gapful number since it is divisible by the number (72) 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 73321649200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113946248160000).

73321649200512 is an abundant number, since it is smaller than the sum of its proper divisors (154570847119488).

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

73321649200512 is a wasteful number, since it uses less digits than its factorization.

73321649200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501438 (or 501420 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 73321649200512 in words is "seventy-three trillion, three hundred twenty-one billion, six hundred forty-nine million, two hundred thousand, five hundred twelve".