38098873193472 has 2112 divisors, whose sum is σ = 148680035942400. Its totient is φ = 9409432780800.

The previous prime is 38098873193441. The next prime is 38098873193473. The reversal of 38098873193472 is 27439137889083.

38098873193472 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 88 + 73 + 1 + 9 + 3 + 472 = 666.

It is a super-2 number, since 2×38098873193472² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38098873193472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38098873193473) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62765853393 + ... + 62765853999.

Almost surely, 2^{38098873193472} is an apocalyptic number.

38098873193472 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 38098873193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74340017971200).

38098873193472 is an abundant number, since it is smaller than the sum of its proper divisors (110581162748928).

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

38098873193472 is a wasteful number, since it uses less digits than its factorization.

38098873193472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 38098873193472 in words is "thirty-eight trillion, ninety-eight billion, eight hundred seventy-three million, one hundred ninety-three thousand, four hundred seventy-two".