116419464000 has 896 divisors, whose sum is σ = 501582781440. Its totient is φ = 25878528000.

The previous prime is 116419463999. The next prime is 116419464001. The reversal of 116419464000 is 464914611.

116419464000 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 1 + 9 + 4 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116419463999) and next prime (116419464001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116419464001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55942960 + ... + 55945040.

Almost surely, 2^116419464000 is an apocalyptic number.

116419464000 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 116419464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250791390720).

116419464000 is an abundant number, since it is smaller than the sum of its proper divisors (385163317440).

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

116419464000 is a wasteful number, since it uses less digits than its factorization.

116419464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 116419464000 in words is "one hundred sixteen billion, four hundred nineteen million, four hundred sixty-four thousand".