88137140641 has 27 divisors (see below), whose sum is σ = 98088211417. Its totient is φ = 79136066240.

The previous prime is 88137140627. The next prime is 88137140659. The reversal of 88137140641 is 14604173188.

The square root of 88137140641 is 296879.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39251930641 + 48885210000 = 198121^2 + 221100^2 .

It is not a de Polignac number, because 88137140641 - 2¹³ = 88137132449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88137140681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 447396555 + ... + 447396751.

Almost surely, 2^88137140641 is an apocalyptic number.

88137140641 is the 296879-th square number.

88137140641 is the 148440-th centered octagonal number.

It is an amenable number.

88137140641 is a deficient number, since it is larger than the sum of its proper divisors (9951070776).

88137140641 is an equidigital number, since it uses as much as digits as its factorization.

88137140641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 88137140641 in words is "eighty-eight billion, one hundred thirty-seven million, one hundred forty thousand, six hundred forty-one".