81714193920 has 480 divisors, whose sum is σ = 302586508224. Its totient is φ = 20329267200.

The previous prime is 81714193919. The next prime is 81714193997. The reversal of 81714193920 is 2939141718.

81714193920 is a `hidden beast` number, since 81 + 71 + 419 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 21724840 + ... + 21728600.

Almost surely, 2^81714193920 is an apocalyptic number.

81714193920 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 81714193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151293254112).

81714193920 is an abundant number, since it is smaller than the sum of its proper divisors (220872314304).

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

81714193920 is a wasteful number, since it uses less digits than its factorization.

81714193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3835 counting only the distinct ones).

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

The spelling of 81714193920 in words is "eighty-one billion, seven hundred fourteen million, one hundred ninety-three thousand, nine hundred twenty".