360581113152 has 336 divisors, whose sum is σ = 1166055072000. Its totient is φ = 105761230848.

The previous prime is 360581113133. The next prime is 360581113183. The reversal of 360581113152 is 251311185063.

It is a happy number.

360581113152 is a `hidden beast` number, since 3 + 60 + 581 + 1 + 1 + 3 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17144499 + ... + 17165517.

It is an arithmetic number, because the mean of its divisors is an integer number (3470402000).

Almost surely, 2^360581113152 is an apocalyptic number.

360581113152 is a gapful number since it is divisible by the number (32) 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 360581113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583027536000).

360581113152 is an abundant number, since it is smaller than the sum of its proper divisors (805473958848).

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

360581113152 is a wasteful number, since it uses less digits than its factorization.

360581113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21158 (or 21145 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 360581113152 in words is "three hundred sixty billion, five hundred eighty-one million, one hundred thirteen thousand, one hundred fifty-two".