38350014288768 has 1440 divisors, whose sum is σ = 151333167051000. Its totient is φ = 9581550870528.

The previous prime is 38350014288653. The next prime is 38350014288877. The reversal of 38350014288768 is 86788241005383.

38350014288768 is a `hidden beast` number, since 3 + 8 + 3 + 500 + 1 + 42 + 8 + 87 + 6 + 8 = 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 179 ways as a sum of consecutive naturals, for example, 1631278998 + ... + 1631302506.

Almost surely, 2^{38350014288768} is an apocalyptic number.

38350014288768 is a gapful number since it is divisible by the number (38) 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 38350014288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75666583525500).

38350014288768 is an abundant number, since it is smaller than the sum of its proper divisors (112983152762232).

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

38350014288768 is a wasteful number, since it uses less digits than its factorization.

38350014288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23594 (or 23553 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 38350014288768 in words is "thirty-eight trillion, three hundred fifty billion, fourteen million, two hundred eighty-eight thousand, seven hundred sixty-eight".