38585162112 has 512 divisors, whose sum is σ = 127844352000. Its totient is φ = 10282567680.

The previous prime is 38585162059. The next prime is 38585162153. The reversal of 38585162112 is 21126158583.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 142380537 + ... + 142380807.

It is an arithmetic number, because the mean of its divisors is an integer number (249696000).

Almost surely, 2^38585162112 is an apocalyptic number.

38585162112 is a gapful number since it is divisible by the number (32) 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 38585162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63922176000).

38585162112 is an abundant number, since it is smaller than the sum of its proper divisors (89259189888).

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

38585162112 is a wasteful number, since it uses less digits than its factorization.

38585162112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The spelling of 38585162112 in words is "thirty-eight billion, five hundred eighty-five million, one hundred sixty-two thousand, one hundred twelve".