360882445807104 has 1920 divisors, whose sum is σ = 1209655057121280. Its totient is φ = 94963846348800.

The previous prime is 360882445807099. The next prime is 360882445807129. The reversal of 360882445807104 is 401708544288063.

It is a super-2 number, since 2×360882445807104² (a number of 30 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 191 ways as a sum of consecutive naturals, for example, 144179961117 + ... + 144179963619.

It is an arithmetic number, because the mean of its divisors is an integer number (630028675584).

Almost surely, 2^{360882445807104} 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 360882445807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604827528560640).

360882445807104 is an abundant number, since it is smaller than the sum of its proper divisors (848772611314176).

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

360882445807104 is a wasteful number, since it uses less digits than its factorization.

360882445807104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 360882445807104 in words is "three hundred sixty trillion, eight hundred eighty-two billion, four hundred forty-five million, eight hundred seven thousand, one hundred four".