81192914690400 has 432 divisors, whose sum is σ = 295080829243200. Its totient is φ = 20996354580480.

The previous prime is 81192914690317. The next prime is 81192914690431. The reversal of 81192914690400 is 409641929118.

81192914690400 is a `hidden beast` number, since 8 + 1 + 1 + 9 + 2 + 9 + 146 + 90 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35784996 + ... + 37986204.

It is an arithmetic number, because the mean of its divisors is an integer number (683057475100).

Almost surely, 2^{81192914690400} is an apocalyptic number.

81192914690400 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 81192914690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147540414621600).

81192914690400 is an abundant number, since it is smaller than the sum of its proper divisors (213887914552800).

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

81192914690400 is a wasteful number, since it uses less digits than its factorization.

81192914690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201391 (or 2201375 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 81192914690400 in words is "eighty-one trillion, one hundred ninety-two billion, nine hundred fourteen million, six hundred ninety thousand, four hundred".