118032252952320 has 1152 divisors, whose sum is σ = 501089662402560. Its totient is φ = 25740675072000.

The previous prime is 118032252952297. The next prime is 118032252952373. The reversal of 118032252952320 is 23259252230811.

118032252952320 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 32 + 2 + 5 + 295 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×118032252952320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 532355085 + ... + 532576755.

It is an arithmetic number, because the mean of its divisors is an integer number (434973665280).

Almost surely, 2^{118032252952320} is an apocalyptic number.

118032252952320 is a gapful number since it is divisible by the number (10) 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 118032252952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250544831201280).

118032252952320 is an abundant number, since it is smaller than the sum of its proper divisors (383057409450240).

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

118032252952320 is a wasteful number, since it uses less digits than its factorization.

118032252952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221810 (or 221790 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 118032 and 252952320, that added together give a palindrome (253070352).

The spelling of 118032252952320 in words is "one hundred eighteen trillion, thirty-two billion, two hundred fifty-two million, nine hundred fifty-two thousand, three hundred twenty".