62013361618944 has 912 divisors, whose sum is σ = 193713762086208. Its totient is φ = 19807441256448.

The previous prime is 62013361618939. The next prime is 62013361618951. The reversal of 62013361618944 is 44981616331026.

It is a happy number.

62013361618944 is a `hidden beast` number, since 6 + 2 + 0 + 1 + 3 + 3 + 616 + 18 + 9 + 4 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 195625746274 + ... + 195625746590.

It is an arithmetic number, because the mean of its divisors is an integer number (212405440884).

Almost surely, 2^{62013361618944} is an apocalyptic number.

62013361618944 is a gapful number since it is divisible by the number (64) 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 62013361618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96856881043104).

62013361618944 is an abundant number, since it is smaller than the sum of its proper divisors (131700400467264).

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

62013361618944 is an frugal number, since it uses more digits than its factorization.

62013361618944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 62013361618944 in words is "sixty-two trillion, thirteen billion, three hundred sixty-one million, six hundred eighteen thousand, nine hundred forty-four".