116430419952 has 400 divisors, whose sum is σ = 425227283712. Its totient is φ = 29875184640.

The previous prime is 116430419951. The next prime is 116430419993. The reversal of 116430419952 is 259914034611.

116430419952 is a `hidden beast` number, since 116 + 4 + 30 + 419 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116430419898 and 116430419907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116430419951) 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, 8275708 + ... + 8289764.

Almost surely, 2^116430419952 is an apocalyptic number.

116430419952 is a gapful number since it is divisible by the number (12) 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 116430419952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212613641856).

116430419952 is an abundant number, since it is smaller than the sum of its proper divisors (308796863760).

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

116430419952 is a wasteful number, since it uses less digits than its factorization.

116430419952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14178 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 116430419952 in words is "one hundred sixteen billion, four hundred thirty million, four hundred nineteen thousand, nine hundred fifty-two".