116514242460 has 576 divisors, whose sum is σ = 456363048960. Its totient is φ = 23357859840.

The previous prime is 116514242443. The next prime is 116514242479. The reversal of 116514242460 is 64242415611.

116514242460 is a `hidden beast` number, since 1 + 16 + 5 + 142 + 42 + 460 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65127246 + ... + 65129034.

It is an arithmetic number, because the mean of its divisors is an integer number (792296960).

Almost surely, 2^116514242460 is an apocalyptic number.

116514242460 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 116514242460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228181524480).

116514242460 is an abundant number, since it is smaller than the sum of its proper divisors (339848806500).

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

116514242460 is a wasteful number, since it uses less digits than its factorization.

116514242460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 116514242460 in words is "one hundred sixteen billion, five hundred fourteen million, two hundred forty-two thousand, four hundred sixty".