360444346416432 has 800 divisors, whose sum is σ = 1119334448010240. Its totient is φ = 111797883555840.

The previous prime is 360444346416397. The next prime is 360444346416509. The reversal of 360444346416432 is 234614643444063.

It is a happy number.

360444346416432 is a `hidden beast` number, since 3 + 6 + 0 + 4 + 443 + 4 + 6 + 4 + 164 + 32 = 666.

It is a super-2 number, since 2×360444346416432² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42570486663 + ... + 42570495129.

Almost surely, 2^{360444346416432} 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 360444346416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559667224005120).

360444346416432 is an abundant number, since it is smaller than the sum of its proper divisors (758890101593808).

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

360444346416432 is a wasteful number, since it uses less digits than its factorization.

360444346416432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 54.

The spelling of 360444346416432 in words is "three hundred sixty trillion, four hundred forty-four billion, three hundred forty-six million, four hundred sixteen thousand, four hundred thirty-two".