88229238013764 has 243 divisors, whose sum is σ = 237553807862007. Its totient is φ = 27609231355776.

The previous prime is 88229238013757. The next prime is 88229238013817. The reversal of 88229238013764 is 46731083292288.

The square root of 88229238013764 is 9393042.

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

88229238013764 is a `hidden beast` number, since 8 + 8 + 2 + 29 + 238 + 0 + 1 + 376 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18776882232900 + 69452355780864 = 4333230^2 + 8333808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 60472403667 + ... + 60472405125.

Almost surely, 2^{88229238013764} is an apocalyptic number.

88229238013764 is the 9393042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88229238013764

88229238013764 is an abundant number, since it is smaller than the sum of its proper divisors (149324569848243).

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

88229238013764 is a wasteful number, since it uses less digits than its factorization.

88229238013764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 88229238013764 in words is "eighty-eight trillion, two hundred twenty-nine billion, two hundred thirty-eight million, thirteen thousand, seven hundred sixty-four".