88267815801 has 45 divisors (see below), whose sum is σ = 144981885279. Its totient is φ = 53477820000.

The previous prime is 88267815781. The next prime is 88267815847. The reversal of 88267815801 is 10851876288.

The square root of 88267815801 is 297099.

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., 47479974201 + 40787841600 = 217899^2 + 201960^2 .

It is not a de Polignac number, because 88267815801 - 2⁹ = 88267815289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88267816801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29411301 + ... + 29414301.

Almost surely, 2^88267815801 is an apocalyptic number.

88267815801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

88267815801 is the 297099-th square number.

88267815801 is the 148550-th centered octagonal number.

It is an amenable number.

88267815801 is a deficient number, since it is larger than the sum of its proper divisors (56714069478).

88267815801 is an frugal number, since it uses more digits than its factorization.

88267815801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 88267815801 in words is "eighty-eight billion, two hundred sixty-seven million, eight hundred fifteen thousand, eight hundred one".