88187706870561 has 27 divisors (see below), whose sum is σ = 133162378274289. Its totient is φ = 56235225967272.

The previous prime is 88187706870547. The next prime is 88187706870587. The reversal of 88187706870561 is 16507860778188.

The square root of 88187706870561 is 9390831.

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

It is a de Polignac number, because none of the positive numbers 2^k-88187706870561 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 88187706870561.

It is not an unprimeable number, because it can be changed into a prime (88187706870511) 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 26 ways as a sum of consecutive naturals, for example, 647899290 + ... + 648035388.

Almost surely, 2^{88187706870561} is an apocalyptic number.

88187706870561 is the 9390831-st square number.

88187706870561 is the 4695416-th centered octagonal number.

It is an amenable number.

88187706870561 is a deficient number, since it is larger than the sum of its proper divisors (44974671403728).

88187706870561 is an frugal number, since it uses more digits than its factorization.

88187706870561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272250 (or 136125 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 72.

The spelling of 88187706870561 in words is "eighty-eight trillion, one hundred eighty-seven billion, seven hundred six million, eight hundred seventy thousand, five hundred sixty-one".