88547309761 has 27 divisors (see below), whose sum is σ = 95046785379. Its totient is φ = 82486126800.

The previous prime is 88547309729. The next prime is 88547309771. The reversal of 88547309761 is 16790374588.

The square root of 88547309761 is 297569.

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

It can be written as a sum of positive squares in only one way, i.e., 46432061361 + 42115248400 = 215481^2 + 205220^2 .

It is not a de Polignac number, because 88547309761 - 2⁵ = 88547309729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 88547309696 and 88547309705.

It is not an unprimeable number, because it can be changed into a prime (88547309771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 267514366 + ... + 267514696.

Almost surely, 2^88547309761 is an apocalyptic number.

88547309761 is the 297569-th square number.

88547309761 is the 148785-th centered octagonal number.

It is an amenable number.

88547309761 is a deficient number, since it is larger than the sum of its proper divisors (6499475618).

88547309761 is an frugal number, since it uses more digits than its factorization.

88547309761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 88547309761 in words is "eighty-eight billion, five hundred forty-seven million, three hundred nine thousand, seven hundred sixty-one".