81914976000 has 2160 divisors, whose sum is σ = 381272699808. Its totient is φ = 17252352000.

The previous prime is 81914975921. The next prime is 81914976001. The reversal of 81914976000 is 67941918.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81914976001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 4818527992 + ... + 4818528008.

Almost surely, 2^81914976000 is an apocalyptic number.

81914976000 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 81914976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190636349904).

81914976000 is an abundant number, since it is smaller than the sum of its proper divisors (299357723808).

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

81914976000 is a wasteful number, since it uses less digits than its factorization.

81914976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 81914976000 in words is "eighty-one billion, nine hundred fourteen million, nine hundred seventy-six thousand".