114618622560 has 768 divisors, whose sum is σ = 414797967360. Its totient is φ = 26415267840.

The previous prime is 114618622529. The next prime is 114618622571. The reversal of 114618622560 is 65226816411.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1071202027 + ... + 1071202133.

It is an arithmetic number, because the mean of its divisors is an integer number (540101520).

Almost surely, 2^114618622560 is an apocalyptic number.

114618622560 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 114618622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207398983680).

114618622560 is an abundant number, since it is smaller than the sum of its proper divisors (300179344800).

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

114618622560 is a wasteful number, since it uses less digits than its factorization.

114618622560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 114618622560 in words is "one hundred fourteen billion, six hundred eighteen million, six hundred twenty-two thousand, five hundred sixty".