88645087183104 has 405 divisors, whose sum is σ = 266701626349389. Its totient is φ = 29284888780800.

The previous prime is 88645087183069. The next prime is 88645087183117. The reversal of 88645087183104 is 40138178054688.

It is a happy number.

The square root of 88645087183104 is 9415152.

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

88645087183104 is a `hidden beast` number, since 8 + 8 + 6 + 4 + 508 + 7 + 18 + 3 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9940652294400 + 78704434888704 = 3152880^2 + 8871552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 204723064872 + ... + 204723065304.

Almost surely, 2^{88645087183104} is an apocalyptic number.

88645087183104 is the 9415152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88645087183104

88645087183104 is an abundant number, since it is smaller than the sum of its proper divisors (178056539166285).

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

88645087183104 is an frugal number, since it uses more digits than its factorization.

88645087183104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 88645087183104 in words is "eighty-eight trillion, six hundred forty-five billion, eighty-seven million, one hundred eighty-three thousand, one hundred four".