19238931138672 has 480 divisors, whose sum is σ = 69447442579200. Its totient is φ = 5066782253568.

The previous prime is 19238931138593. The next prime is 19238931138703. The reversal of 19238931138672 is 27683113983291.

19238931138672 is a `hidden beast` number, since 1 + 9 + 238 + 9 + 3 + 11 + 386 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14234683 + ... + 15527525.

It is an arithmetic number, because the mean of its divisors is an integer number (144682172040).

Almost surely, 2^{19238931138672} is an apocalyptic number.

19238931138672 is a gapful number since it is divisible by the number (12) 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 19238931138672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34723721289600).

19238931138672 is an abundant number, since it is smaller than the sum of its proper divisors (50208511440528).

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

19238931138672 is a wasteful number, since it uses less digits than its factorization.

19238931138672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292930 (or 1292911 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 19238931138672 in words is "nineteen trillion, two hundred thirty-eight billion, nine hundred thirty-one million, one hundred thirty-eight thousand, six hundred seventy-two".