116445081600 has 780 divisors, whose sum is σ = 438745017480. Its totient is φ = 30523392000.

The previous prime is 116445081587. The next prime is 116445081601. The reversal of 116445081600 is 6180544611.

116445081600 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 45 + 0 + 8 + 1 + 600 = 666.

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 (116445081601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 837734331 + ... + 837734469.

Almost surely, 2^116445081600 is an apocalyptic number.

116445081600 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 116445081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219372508740).

116445081600 is an abundant number, since it is smaller than the sum of its proper divisors (322299935880).

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

116445081600 is a wasteful number, since it uses less digits than its factorization.

116445081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

It can be divided in two parts, 116445081 and 600, that added together give a square (116445681 = 10791²).

The spelling of 116445081600 in words is "one hundred sixteen billion, four hundred forty-five million, eighty-one thousand, six hundred".