115038723744000 has 1728 divisors, whose sum is σ = 500651019348480. Its totient is φ = 25933669171200.

The previous prime is 115038723743947. The next prime is 115038723744151. The reversal of 115038723744000 is 447327830511.

115038723744000 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 3 + 8 + 7 + 237 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3090509389 + ... + 3090546611.

It is an arithmetic number, because the mean of its divisors is an integer number (289728599160).

Almost surely, 2^{115038723744000} is an apocalyptic number.

115038723744000 is a gapful number since it is divisible by the number (10) 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 115038723744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250325509674240).

115038723744000 is an abundant number, since it is smaller than the sum of its proper divisors (385612295604480).

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

115038723744000 is an equidigital number, since it uses as much as digits as its factorization.

115038723744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37350 (or 37313 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 115038723744000 in words is "one hundred fifteen trillion, thirty-eight billion, seven hundred twenty-three million, seven hundred forty-four thousand".