38171998042112 has 432 divisors, whose sum is σ = 91410267410280. Its totient is φ = 15800893440000.

The previous prime is 38171998042103. The next prime is 38171998042121. The reversal of 38171998042112 is 21124089917183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38171998042103) and next prime (38171998042121).

It is a super-2 number, since 2×38171998042112² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6256675862 + ... + 6256681962.

Almost surely, 2^{38171998042112} is an apocalyptic number.

38171998042112 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 38171998042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45705133705140).

38171998042112 is an abundant number, since it is smaller than the sum of its proper divisors (53238269368168).

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

38171998042112 is a wasteful number, since it uses less digits than its factorization.

38171998042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 56.

The spelling of 38171998042112 in words is "thirty-eight trillion, one hundred seventy-one billion, nine hundred ninety-eight million, forty-two thousand, one hundred twelve".