114901575040 has 256 divisors, whose sum is σ = 324949968000. Its totient is φ = 38031851520.

The previous prime is 114901575017. The next prime is 114901575059. The reversal of 114901575040 is 40575109411.

114901575040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17813736 + ... + 17820184.

Almost surely, 2^114901575040 is an apocalyptic number.

114901575040 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 114901575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162474984000).

114901575040 is an abundant number, since it is smaller than the sum of its proper divisors (210048392960).

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

114901575040 is an equidigital number, since it uses as much as digits as its factorization.

114901575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 114901575040 in words is "one hundred fourteen billion, nine hundred one million, five hundred seventy-five thousand, forty".