88913131749376 has 405 divisors, whose sum is σ = 201997300616811. Its totient is φ = 39105508147200.

The previous prime is 88913131749373. The next prime is 88913131749499. The reversal of 88913131749376 is 67394713131988.

The square root of 88913131749376 is 9429376.

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

88913131749376 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4430856601600 + 84482275147776 = 2104960^2 + 9191424^2 .

It is a Duffinian number.

Its product of digits (164602368) is a multiple of the sum of its prime factors (486).

It is not an unprimeable number, because it can be changed into a prime (88913131749373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 491232772006 + ... + 491232772186.

Almost surely, 2^{88913131749376} is an apocalyptic number.

88913131749376 is the 9429376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88913131749376

88913131749376 is an abundant number, since it is smaller than the sum of its proper divisors (113084168867435).

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

88913131749376 is an frugal number, since it uses more digits than its factorization.

88913131749376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 231 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 70.

The spelling of 88913131749376 in words is "eighty-eight trillion, nine hundred thirteen billion, one hundred thirty-one million, seven hundred forty-nine thousand, three hundred seventy-six".