81164812603392 has 2496 divisors, whose sum is σ = 306173289312000. Its totient is φ = 21103883845632.

The previous prime is 81164812603387. The next prime is 81164812603397. The reversal of 81164812603392 is 29330621846118.

It is a happy number.

81164812603392 is a `hidden beast` number, since 8 + 1 + 1 + 6 + 48 + 1 + 260 + 339 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (81164812603387) and next prime (81164812603397).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81164812603397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 592443887548 + ... + 592443887684.

Almost surely, 2^{81164812603392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81164812603392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153086644656000).

81164812603392 is an abundant number, since it is smaller than the sum of its proper divisors (225008476708608).

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

81164812603392 is a wasteful number, since it uses less digits than its factorization.

81164812603392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 81164812603392 in words is "eighty-one trillion, one hundred sixty-four billion, eight hundred twelve million, six hundred three thousand, three hundred ninety-two".