114719278080 has 704 divisors, whose sum is σ = 414618310656. Its totient is φ = 26836992000.

The previous prime is 114719278067. The next prime is 114719278081. The reversal of 114719278080 is 80872917411.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (114719278081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 875719615 + ... + 875719745.

It is an arithmetic number, because the mean of its divisors is an integer number (588946464).

Almost surely, 2^114719278080 is an apocalyptic number.

114719278080 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 114719278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207309155328).

114719278080 is an abundant number, since it is smaller than the sum of its proper divisors (299899032576).

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

114719278080 is a wasteful number, since it uses less digits than its factorization.

114719278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 48.

The spelling of 114719278080 in words is "one hundred fourteen billion, seven hundred nineteen million, two hundred seventy-eight thousand, eighty".