114601520000 has 240 divisors, whose sum is σ = 313613361600. Its totient is φ = 41669760000.

The previous prime is 114601519973. The next prime is 114601520021. The reversal of 114601520000 is 25106411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9674081 + ... + 9685919.

It is an arithmetic number, because the mean of its divisors is an integer number (1306722340).

Almost surely, 2^114601520000 is an apocalyptic number.

114601520000 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 114601520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156806680800).

114601520000 is an abundant number, since it is smaller than the sum of its proper divisors (199011841600).

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

114601520000 is an equidigital number, since it uses as much as digits as its factorization.

114601520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 114601520000 its reverse (25106411), we get a palindrome (114626626411).

The spelling of 114601520000 in words is "one hundred fourteen billion, six hundred one million, five hundred twenty thousand".