116448864 has 96 divisors (see below), whose sum is σ = 351993600. Its totient is φ = 33019392.

The previous prime is 116448851. The next prime is 116448877. The reversal of 116448864 is 468844611.

It is an interprime number because it is at equal distance from previous prime (116448851) and next prime (116448877).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 99547 + ... + 100709.

It is an arithmetic number, because the mean of its divisors is an integer number (3666600).

Almost surely, 2^116448864 is an apocalyptic number.

116448864 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 116448864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175996800).

116448864 is an abundant number, since it is smaller than the sum of its proper divisors (235544736).

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

116448864 is a wasteful number, since it uses less digits than its factorization.

116448864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 116448864 is about 10791.1474830066. The cubic root of 116448864 is about 488.3281408537.

The spelling of 116448864 in words is "one hundred sixteen million, four hundred forty-eight thousand, eight hundred sixty-four".