115381720194048 has 2970 divisors, whose sum is σ = 464306379828984. Its totient is φ = 28382441472000.

The previous prime is 115381720193963. The next prime is 115381720194127. The reversal of 115381720194048 is 840491027183511.

115381720194048 is a `hidden beast` number, since 1 + 1 + 5 + 381 + 72 + 0 + 194 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 115381720193985 and 115381720194003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1142393269198 + ... + 1142393269298.

Almost surely, 2^{115381720194048} is an apocalyptic number.

115381720194048 is a gapful number since it is divisible by the number (18) 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 115381720194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232153189914492).

115381720194048 is an abundant number, since it is smaller than the sum of its proper divisors (348924659634936).

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

115381720194048 is a wasteful number, since it uses less digits than its factorization.

115381720194048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 115381720194048 in words is "one hundred fifteen trillion, three hundred eighty-one billion, seven hundred twenty million, one hundred ninety-four thousand, forty-eight".