319138119623232 has 2240 divisors, whose sum is σ = 1210489784272384. Its totient is φ = 80905355919360.

The previous prime is 319138119623231. The next prime is 319138119623293. The reversal of 319138119623232 is 232326911831913.

319138119623232 is a `hidden beast` number, since 3 + 1 + 9 + 1 + 3 + 8 + 1 + 1 + 9 + 623 + 2 + 3 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (319138119623231) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 474202257648 + ... + 474202258320.

Almost surely, 2^{319138119623232} is an apocalyptic number.

319138119623232 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 319138119623232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605244892136192).

319138119623232 is an abundant number, since it is smaller than the sum of its proper divisors (891351664649152).

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

319138119623232 is a wasteful number, since it uses less digits than its factorization.

319138119623232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1079 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 319138119623232 in words is "three hundred nineteen trillion, one hundred thirty-eight billion, one hundred nineteen million, six hundred twenty-three thousand, two hundred thirty-two".