88121033364 has 144 divisors (see below), whose sum is σ = 259553802816. Its totient is φ = 23063040000.

The previous prime is 88121033359. The next prime is 88121033389. The reversal of 88121033364 is 46333012188.

It is a super-2 number, since 2×88121033364² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 957364 + ... + 1045364.

It is an arithmetic number, because the mean of its divisors is an integer number (1802456964).

Almost surely, 2^88121033364 is an apocalyptic number.

88121033364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88121033364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129776901408).

88121033364 is an abundant number, since it is smaller than the sum of its proper divisors (171432769452).

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

88121033364 is a wasteful number, since it uses less digits than its factorization.

88121033364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88166 (or 88157 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 88121033364 in words is "eighty-eight billion, one hundred twenty-one million, thirty-three thousand, three hundred sixty-four".