116946144 has 108 divisors (see below), whose sum is σ = 386908704. Its totient is φ = 33409152.

The previous prime is 116946133. The next prime is 116946157. The reversal of 116946144 is 441649611.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116946099 and 116946108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9969 + ... + 18255.

It is an arithmetic number, because the mean of its divisors is an integer number (3582488).

Almost surely, 2^116946144 is an apocalyptic number.

116946144 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 116946144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193454352).

116946144 is an abundant number, since it is smaller than the sum of its proper divisors (269962560).

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

116946144 is a wasteful number, since it uses less digits than its factorization.

116946144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8317 (or 8299 counting only the distinct ones).

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

The square root of 116946144 is about 10814.1640453620. The cubic root of 116946144 is about 489.0222680464.

The spelling of 116946144 in words is "one hundred sixteen million, nine hundred forty-six thousand, one hundred forty-four".