114491520 has 384 divisors, whose sum is σ = 467812800. Its totient is φ = 25436160.

The previous prime is 114491513. The next prime is 114491561. The reversal of 114491520 is 25194411.

114491520 is a `hidden beast` number, since 11 + 44 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823611 + ... + 823749.

Almost surely, 2^114491520 is an apocalyptic number.

114491520 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 114491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233906400).

114491520 is an abundant number, since it is smaller than the sum of its proper divisors (353321280).

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

114491520 is a wasteful number, since it uses less digits than its factorization.

114491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 114491520 is about 10700.0710278016. The cubic root of 114491520 is about 485.5766266670.

The spelling of 114491520 in words is "one hundred fourteen million, four hundred ninety-one thousand, five hundred twenty".