114478058240 has 864 divisors, whose sum is σ = 374889876480. Its totient is φ = 32641449984.

The previous prime is 114478058209. The next prime is 114478058243. The reversal of 114478058240 is 42850874411.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 114478058191 and 114478058200.

It is not an unprimeable number, because it can be changed into a prime (114478058243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661722794 + ... + 661722966.

It is an arithmetic number, because the mean of its divisors is an integer number (433900320).

Almost surely, 2^114478058240 is an apocalyptic number.

114478058240 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 114478058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187444938240).

114478058240 is an abundant number, since it is smaller than the sum of its proper divisors (260411818240).

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

114478058240 is a wasteful number, since it uses less digits than its factorization.

114478058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The spelling of 114478058240 in words is "one hundred fourteen billion, four hundred seventy-eight million, fifty-eight thousand, two hundred forty".