114013401520 has 80 divisors (see below), whose sum is σ = 272280072960. Its totient is φ = 44383249152.

The previous prime is 114013401457. The next prime is 114013401521. The reversal of 114013401520 is 25104310411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 114013401491 and 114013401500.

It is not an unprimeable number, because it can be changed into a prime (114013401521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316741 + ... + 573019.

It is an arithmetic number, because the mean of its divisors is an integer number (3403500912).

Almost surely, 2^114013401520 is an apocalyptic number.

114013401520 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 114013401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136140036480).

114013401520 is an abundant number, since it is smaller than the sum of its proper divisors (158266671440).

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

114013401520 is a wasteful number, since it uses less digits than its factorization.

114013401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256442 (or 256436 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 114013401520 its reverse (25104310411), we get a palindrome (139117711931).

The spelling of 114013401520 in words is "one hundred fourteen billion, thirteen million, four hundred one thousand, five hundred twenty".