81074900214000 has 1600 divisors, whose sum is σ = 365649210381312. Its totient is φ = 16821851904000.

The previous prime is 81074900213999. The next prime is 81074900214023. The reversal of 81074900214000 is 41200947018.

81074900214000 is a `hidden beast` number, since 8 + 107 + 490 + 0 + 21 + 40 + 0 + 0 = 666.

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9143437567 + ... + 9143446433.

Almost surely, 2^{81074900214000} is an apocalyptic number.

81074900214000 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 81074900214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182824605190656).

81074900214000 is an abundant number, since it is smaller than the sum of its proper divisors (284574310167312).

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

81074900214000 is a wasteful number, since it uses less digits than its factorization.

81074900214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9628 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 81074900214000 in words is "eighty-one trillion, seventy-four billion, nine hundred million, two hundred fourteen thousand".