88545973352769 has 15 divisors (see below), whose sum is σ = 132272506457553. Its totient is φ = 59030592442524.

The previous prime is 88545973352761. The next prime is 88545973352839. The reversal of 88545973352769 is 96725337954588.

The square root of 88545973352769 is 9409887.

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

88545973352769 is a `hidden beast` number, since 8 + 8 + 5 + 4 + 5 + 9 + 7 + 335 + 276 + 9 = 666.

It is not a de Polignac number, because 88545973352769 - 2³ = 88545973352761 is a prime.

It is a super-2 number, since 2×88545973352769² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (88545973352761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 84166212 + ... + 85211754.

Almost surely, 2^{88545973352769} is an apocalyptic number.

88545973352769 is the 9409887-th square number.

88545973352769 is the 4704944-th centered octagonal number.

It is an amenable number.

88545973352769 is a deficient number, since it is larger than the sum of its proper divisors (43726533104784).

88545973352769 is an frugal number, since it uses more digits than its factorization.

88545973352769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091098 (or 1045546 counting only the distinct ones).

The product of its digits is 13716864000, while the sum is 81.

88545973352769 divided by its sum of digits (81) gives a square (1093160164849 = 1045543²).

The spelling of 88545973352769 in words is "eighty-eight trillion, five hundred forty-five billion, nine hundred seventy-three million, three hundred fifty-two thousand, seven hundred sixty-nine".