88065314624 has 112 divisors (see below), whose sum is σ = 202777344000. Its totient is φ = 37165739520.

The previous prime is 88065314611. The next prime is 88065314671. The reversal of 88065314624 is 42641356088.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×88065314624² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47679269 + ... + 47681115.

It is an arithmetic number, because the mean of its divisors is an integer number (1810512000).

Almost surely, 2^88065314624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88065314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672000).

88065314624 is an abundant number, since it is smaller than the sum of its proper divisors (114712029376).

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

88065314624 is a wasteful number, since it uses less digits than its factorization.

88065314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 88065314624 in words is "eighty-eight billion, sixty-five million, three hundred fourteen thousand, six hundred twenty-four".