116508044701440 has 1152 divisors, whose sum is σ = 485483088599040. Its totient is φ = 26232645795840.

The previous prime is 116508044701439. The next prime is 116508044701453. The reversal of 116508044701440 is 44107440805611.

116508044701440 is a `hidden beast` number, since 1 + 1 + 6 + 50 + 80 + 4 + 470 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1312855470 + ... + 1312944210.

Almost surely, 2^{116508044701440} is an apocalyptic number.

116508044701440 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 116508044701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242741544299520).

116508044701440 is an abundant number, since it is smaller than the sum of its proper divisors (368975043897600).

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

116508044701440 is an frugal number, since it uses more digits than its factorization.

116508044701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88857 (or 88825 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 116508044701440 in words is "one hundred sixteen trillion, five hundred eight billion, forty-four million, seven hundred one thousand, four hundred forty".