114242461520 has 80 divisors (see below), whose sum is σ = 289938996288. Its totient is φ = 41517112320.

The previous prime is 114242461469. The next prime is 114242461547. The reversal of 114242461520 is 25164242411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1418987 + ... + 1497333.

Almost surely, 2^114242461520 is an apocalyptic number.

114242461520 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 114242461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144969498144).

114242461520 is an abundant number, since it is smaller than the sum of its proper divisors (175696534768).

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

114242461520 is a wasteful number, since it uses less digits than its factorization.

114242461520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80028 (or 80022 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 114242461520 in words is "one hundred fourteen billion, two hundred forty-two million, four hundred sixty-one thousand, five hundred twenty".