38172104838144 has 1408 divisors, whose sum is σ = 124594896384000. Its totient is φ = 11506023530496.

The previous prime is 38172104838107. The next prime is 38172104838149. The reversal of 38172104838144 is 44183840127183.

38172104838144 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 2 + 10 + 483 + 8 + 144 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38172104838149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213251982247 + ... + 213251982425.

Almost surely, 2^{38172104838144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38172104838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62297448192000).

38172104838144 is an abundant number, since it is smaller than the sum of its proper divisors (86422791545856).

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

38172104838144 is a wasteful number, since it uses less digits than its factorization.

38172104838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 38172104838144 in words is "thirty-eight trillion, one hundred seventy-two billion, one hundred four million, eight hundred thirty-eight thousand, one hundred forty-four".