38833514496 has 864 divisors, whose sum is σ = 143708947200. Its totient is φ = 10032906240.

The previous prime is 38833514491. The next prime is 38833514509. The reversal of 38833514496 is 69441533883.

38833514496 is a `hidden beast` number, since 3 + 8 + 8 + 33 + 514 + 4 + 96 = 666.

It is a super-2 number, since 2×38833514496² (a number of 22 digits) contains 22 as substring.

Its product of digits (7464960) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38833514491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 531965916 + ... + 531965988.

It is an arithmetic number, because the mean of its divisors is an integer number (166329800).

Almost surely, 2^38833514496 is an apocalyptic number.

38833514496 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 38833514496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71854473600).

38833514496 is an abundant number, since it is smaller than the sum of its proper divisors (104875432704).

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

38833514496 is a wasteful number, since it uses less digits than its factorization.

38833514496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 38833514496 in words is "thirty-eight billion, eight hundred thirty-three million, five hundred fourteen thousand, four hundred ninety-six".