88273163664 has 405 divisors, whose sum is σ = 300708789771. Its totient is φ = 25028377920.

The previous prime is 88273163581. The next prime is 88273163669. The reversal of 88273163664 is 46636137288.

The square root of 88273163664 is 297108.

It is a perfect power (a square), and thus also a powerful number.

88273163664 is a `hidden beast` number, since 8 + 8 + 273 + 1 + 6 + 366 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 88273163664.

It is not an unprimeable number, because it can be changed into a prime (88273163669) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 673840879 + ... + 673841009.

Almost surely, 2^88273163664 is an apocalyptic number.

88273163664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

88273163664 is the 297108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88273163664

88273163664 is an abundant number, since it is smaller than the sum of its proper divisors (212435626107).

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

88273163664 is an frugal number, since it uses more digits than its factorization.

88273163664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 143 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 88273163664 in words is "eighty-eight billion, two hundred seventy-three million, one hundred sixty-three thousand, six hundred sixty-four".