116312453440 has 112 divisors (see below), whose sum is σ = 282324566160. Its totient is φ = 45632471040.

The previous prime is 116312453431. The next prime is 116312453471. The reversal of 116312453440 is 44354213611.

It can be written as a sum of positive squares in 8 ways, for example, as 43101081664 + 73211371776 = 207608^2 + 270576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116312453396 and 116312453405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4214406 + ... + 4241914.

It is an arithmetic number, because the mean of its divisors is an integer number (2520755055).

Almost surely, 2^116312453440 is an apocalyptic number.

116312453440 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 116312453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141162283080).

116312453440 is an abundant number, since it is smaller than the sum of its proper divisors (166012112720).

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

116312453440 is a wasteful number, since it uses less digits than its factorization.

116312453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27780 (or 27770 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 116312453440 in words is "one hundred sixteen billion, three hundred twelve million, four hundred fifty-three thousand, four hundred forty".