116306435340 has 144 divisors (see below), whose sum is σ = 373672903968. Its totient is φ = 29180946432.

The previous prime is 116306435239. The next prime is 116306435363. The reversal of 116306435340 is 43534603611.

116306435340 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 0 + 643 + 5 + 3 + 4 + 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 = 116306435295 and 116306435304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15213559 + ... + 15221201.

It is an arithmetic number, because the mean of its divisors is an integer number (2594950722).

Almost surely, 2^116306435340 is an apocalyptic number.

116306435340 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 116306435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186836451984).

116306435340 is an abundant number, since it is smaller than the sum of its proper divisors (257366468628).

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

116306435340 is a wasteful number, since it uses less digits than its factorization.

116306435340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 116306435340 in words is "one hundred sixteen billion, three hundred six million, four hundred thirty-five thousand, three hundred forty".