114754738560 has 1280 divisors, whose sum is σ = 487110481920. Its totient is φ = 22759833600.

The previous prime is 114754738559. The next prime is 114754738561. The reversal of 114754738560 is 65837457411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114754738559) and next prime (114754738561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114754738561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1571982684 + ... + 1571982756.

It is an arithmetic number, because the mean of its divisors is an integer number (380555064).

Almost surely, 2^114754738560 is an apocalyptic number.

114754738560 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 114754738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243555240960).

114754738560 is an abundant number, since it is smaller than the sum of its proper divisors (372355743360).

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

114754738560 is an equidigital number, since it uses as much as digits as its factorization.

114754738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 114754738560 in words is "one hundred fourteen billion, seven hundred fifty-four million, seven hundred thirty-eight thousand, five hundred sixty".