368498640161520 has 2400 divisors, whose sum is σ = 1450422900326400. Its totient is φ = 86620350136320.

The previous prime is 368498640161387. The next prime is 368498640161527. The reversal of 368498640161520 is 25161046894863.

368498640161520 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 9 + 8 + 6 + 4 + 0 + 1 + 615 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368498640161527) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1093467774792 + ... + 1093467775128.

It is an arithmetic number, because the mean of its divisors is an integer number (604342875136).

Almost surely, 2^{368498640161520} is an apocalyptic number.

368498640161520 is a gapful number since it is divisible by the number (30) 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 368498640161520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725211450163200).

368498640161520 is an abundant number, since it is smaller than the sum of its proper divisors (1081924260164880).

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

368498640161520 is a wasteful number, since it uses less digits than its factorization.

368498640161520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 368498640161520 in words is "three hundred sixty-eight trillion, four hundred ninety-eight billion, six hundred forty million, one hundred sixty-one thousand, five hundred twenty".