114455901258 has 80 divisors (see below), whose sum is σ = 271638347904. Its totient is φ = 35896348800.

The previous prime is 114455901253. The next prime is 114455901277. The reversal of 114455901258 is 852109554411.

114455901258 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 5 + 590 + 1 + 2 + 58 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114455901253) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14391183 + ... + 14399133.

Almost surely, 2^114455901258 is an apocalyptic number.

114455901258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114455901258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135819173952).

114455901258 is an abundant number, since it is smaller than the sum of its proper divisors (157182446646).

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

114455901258 is a wasteful number, since it uses less digits than its factorization.

114455901258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13209 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 114455901258 in words is "one hundred fourteen billion, four hundred fifty-five million, nine hundred one thousand, two hundred fifty-eight".