115648417920 has 512 divisors, whose sum is σ = 446509324800. Its totient is φ = 24896471040.

The previous prime is 115648417901. The next prime is 115648417931. The reversal of 115648417920 is 29714846511.

It is a super-4 number, since 4×115648417920⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 115648417920.

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 63 ways as a sum of consecutive naturals, for example, 15976542 + ... + 15983778.

It is an arithmetic number, because the mean of its divisors is an integer number (872088525).

Almost surely, 2^115648417920 is an apocalyptic number.

115648417920 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 115648417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223254662400).

115648417920 is an abundant number, since it is smaller than the sum of its proper divisors (330860906880).

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

115648417920 is a wasteful number, since it uses less digits than its factorization.

115648417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 115648417920 in words is "one hundred fifteen billion, six hundred forty-eight million, four hundred seventeen thousand, nine hundred twenty".