38832185500416 has 2592 divisors, whose sum is σ = 155793379123200. Its totient is φ = 9415255449600.

The previous prime is 38832185500333. The next prime is 38832185500573. The reversal of 38832185500416 is 61400558123883.

38832185500416 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 218 + 5 + 5 + 0 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79087953931 + ... + 79087954421.

Almost surely, 2^{38832185500416} is an apocalyptic number.

38832185500416 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 38832185500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77896689561600).

38832185500416 is an abundant number, since it is smaller than the sum of its proper divisors (116961193622784).

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

38832185500416 is a wasteful number, since it uses less digits than its factorization.

38832185500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 38832185500416 in words is "thirty-eight trillion, eight hundred thirty-two billion, one hundred eighty-five million, five hundred thousand, four hundred sixteen".