88608484851264 has 945 divisors, whose sum is σ = 322803316375947. Its totient is φ = 23959852503552.

The previous prime is 88608484851251. The next prime is 88608484851319. The reversal of 88608484851264 is 46215848480688.

The square root of 88608484851264 is 9413208.

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

88608484851264 is a `hidden beast` number, since 8 + 8 + 6 + 0 + 8 + 4 + 8 + 48 + 512 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88608484851192 and 88608484851201.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 90140879317 + ... + 90140880299.

Almost surely, 2^{88608484851264} is an apocalyptic number.

88608484851264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

88608484851264 is the 9413208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88608484851264

88608484851264 is an abundant number, since it is smaller than the sum of its proper divisors (234194831524683).

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

88608484851264 is an frugal number, since it uses more digits than its factorization.

88608484851264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 754974720, while the sum is 72.

The spelling of 88608484851264 in words is "eighty-eight trillion, six hundred eight billion, four hundred eighty-four million, eight hundred fifty-one thousand, two hundred sixty-four".