116065281024 has 880 divisors, whose sum is σ = 457963355520. Its totient is φ = 28346941440.

The previous prime is 116065281023. The next prime is 116065281029. The reversal of 116065281024 is 420182560611.

It is a happy number.

116065281024 is a `hidden beast` number, since 1 + 1 + 606 + 5 + 28 + 1 + 0 + 24 = 666.

It is a super-2 number, since 2×116065281024² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116065281024.

It is not an unprimeable number, because it can be changed into a prime (116065281023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108573162 + ... + 108574230.

It is an arithmetic number, because the mean of its divisors is an integer number (520412904).

Almost surely, 2^116065281024 is an apocalyptic number.

116065281024 is a gapful number since it is divisible by the number (14) 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 116065281024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228981677760).

116065281024 is an abundant number, since it is smaller than the sum of its proper divisors (341898074496).

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

116065281024 is a wasteful number, since it uses less digits than its factorization.

116065281024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 116065281024 in words is "one hundred sixteen billion, sixty-five million, two hundred eighty-one thousand, twenty-four".