38618621548416 has 2048 divisors, whose sum is σ = 151673980416000. Its totient is φ = 9508185243648.

The previous prime is 38618621548319. The next prime is 38618621548421. The reversal of 38618621548416 is 61484512681683.

38618621548416 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 8 + 62 + 154 + 8 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35332681566 + ... + 35332682658.

It is an arithmetic number, because the mean of its divisors is an integer number (74059560750).

Almost surely, 2^{38618621548416} is an apocalyptic number.

38618621548416 is a gapful number since it is divisible by the number (36) 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 38618621548416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75836990208000).

38618621548416 is an abundant number, since it is smaller than the sum of its proper divisors (113055358867584).

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

38618621548416 is a wasteful number, since it uses less digits than its factorization.

38618621548416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1210 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 38618621548416 in words is "thirty-eight trillion, six hundred eighteen billion, six hundred twenty-one million, five hundred forty-eight thousand, four hundred sixteen".