115246160640 has 1152 divisors, whose sum is σ = 474705100800. Its totient is φ = 26223575040.

The previous prime is 115246160621. The next prime is 115246160669. The reversal of 115246160640 is 46061642511.

115246160640 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 4 + 6 + 1 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115246160595 and 115246160604.

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 127 ways as a sum of consecutive naturals, for example, 603382945 + ... + 603383135.

It is an arithmetic number, because the mean of its divisors is an integer number (412070400).

Almost surely, 2^115246160640 is an apocalyptic number.

115246160640 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 115246160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237352550400).

115246160640 is an abundant number, since it is smaller than the sum of its proper divisors (359458940160).

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

115246160640 is a wasteful number, since it uses less digits than its factorization.

115246160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 115246160640 in words is "one hundred fifteen billion, two hundred forty-six million, one hundred sixty thousand, six hundred forty".