115819783148160 has 4608 divisors, whose sum is σ = 559279711411200. Its totient is φ = 22487681728512.

The previous prime is 115819783148159. The next prime is 115819783148213. The reversal of 115819783148160 is 61841387918511.

115819783148160 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 1 + 97 + 8 + 3 + 1 + 481 + 60 = 666.

It is a super-2 number, since 2×115819783148160² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 114333447814 + ... + 114333448826.

It is an arithmetic number, because the mean of its divisors is an integer number (121371465150).

Almost surely, 2^{115819783148160} is an apocalyptic number.

115819783148160 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 115819783148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279639855705600).

115819783148160 is an abundant number, since it is smaller than the sum of its proper divisors (443459928263040).

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

115819783148160 is a wasteful number, since it uses less digits than its factorization.

115819783148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 63.

The spelling of 115819783148160 in words is "one hundred fifteen trillion, eight hundred nineteen billion, seven hundred eighty-three million, one hundred forty-eight thousand, one hundred sixty".