361999864512 has 1344 divisors, whose sum is σ = 1365981926400. Its totient is φ = 89924567040.

The previous prime is 361999864507. The next prime is 361999864561. The reversal of 361999864512 is 215468999163.

361999864512 is a `hidden beast` number, since 3 + 6 + 1 + 99 + 98 + 6 + 451 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 361999864512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3203538568 + ... + 3203538680.

It is an arithmetic number, because the mean of its divisors is an integer number (1016355600).

Almost surely, 2^361999864512 is an apocalyptic number.

361999864512 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 361999864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682990963200).

361999864512 is an abundant number, since it is smaller than the sum of its proper divisors (1003982061888).

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

361999864512 is a wasteful number, since it uses less digits than its factorization.

361999864512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 361999864512 in words is "three hundred sixty-one billion, nine hundred ninety-nine million, eight hundred sixty-four thousand, five hundred twelve".