115311506940 has 864 divisors, whose sum is σ = 465455652480. Its totient is φ = 22889889792.

The previous prime is 115311506927. The next prime is 115311506971. The reversal of 115311506940 is 49605113511.

115311506940 is a `hidden beast` number, since 1 + 1 + 53 + 11 + 506 + 94 + 0 = 666.

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 = 115311506895 and 115311506904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 100009404 + ... + 100010556.

It is an arithmetic number, because the mean of its divisors is an integer number (538721820).

Almost surely, 2^115311506940 is an apocalyptic number.

115311506940 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 115311506940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232727826240).

115311506940 is an abundant number, since it is smaller than the sum of its proper divisors (350144145540).

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

115311506940 is a wasteful number, since it uses less digits than its factorization.

115311506940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 115311506940 in words is "one hundred fifteen billion, three hundred eleven million, five hundred six thousand, nine hundred forty".