81794246400 has 162 divisors, whose sum is σ = 292433097320. Its totient is φ = 21811783680.

The previous prime is 81794246399. The next prime is 81794246419. The reversal of 81794246400 is 464249718.

81794246400 is a `hidden beast` number, since 81 + 79 + 42 + 464 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 652420 + ... + 767619.

Almost surely, 2^81794246400 is an apocalyptic number.

81794246400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81794246400 is an abundant number, since it is smaller than the sum of its proper divisors (210638850920).

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

81794246400 is a wasteful number, since it uses less digits than its factorization.

81794246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420071 (or 1420049 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 81794246400 in words is "eighty-one billion, seven hundred ninety-four million, two hundred forty-six thousand, four hundred".