368999259089472 has 2688 divisors, whose sum is σ = 1332637957324800. Its totient is φ = 100877736960000.

The previous prime is 368999259089459. The next prime is 368999259089519. The reversal of 368999259089472 is 274980952999863.

368999259089472 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 9 + 9 + 2 + 59 + 0 + 89 + 472 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 708251936572 + ... + 708251937092.

It is an arithmetic number, because the mean of its divisors is an integer number (495773049600).

Almost surely, 2^{368999259089472} is an apocalyptic number.

368999259089472 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 368999259089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666318978662400).

368999259089472 is an abundant number, since it is smaller than the sum of its proper divisors (963638698235328).

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

368999259089472 is a wasteful number, since it uses less digits than its factorization.

368999259089472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 38093690880, while the sum is 90.

The spelling of 368999259089472 in words is "three hundred sixty-eight trillion, nine hundred ninety-nine billion, two hundred fifty-nine million, eighty-nine thousand, four hundred seventy-two".