116145427968 has 240 divisors, whose sum is σ = 350627603040. Its totient is φ = 36941955072.

The previous prime is 116145427967. The next prime is 116145427969. The reversal of 116145427968 is 869724541611.

116145427968 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 4 + 542 + 7 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (116145427967) and next prime (116145427969).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116145427961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53944780 + ... + 53946932.

It is an arithmetic number, because the mean of its divisors is an integer number (1460948346).

Almost surely, 2^116145427968 is an apocalyptic number.

116145427968 is a gapful number since it is divisible by the number (18) 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 116145427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175313801520).

116145427968 is an abundant number, since it is smaller than the sum of its proper divisors (234482175072).

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

116145427968 is a wasteful number, since it uses less digits than its factorization.

116145427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2690 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 116145427968 in words is "one hundred sixteen billion, one hundred forty-five million, four hundred twenty-seven thousand, nine hundred sixty-eight".