114164506560 has 448 divisors, whose sum is σ = 420957573120. Its totient is φ = 25971425280.

The previous prime is 114164506537. The next prime is 114164506571. The reversal of 114164506560 is 65605461411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9716049 + ... + 9727791.

It is an arithmetic number, because the mean of its divisors is an integer number (939637440).

Almost surely, 2^114164506560 is an apocalyptic number.

114164506560 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 114164506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210478786560).

114164506560 is an abundant number, since it is smaller than the sum of its proper divisors (306793066560).

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

114164506560 is a wasteful number, since it uses less digits than its factorization.

114164506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11836 (or 11826 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Adding to 114164506560 its reverse (65605461411), we get a palindrome (179769967971).

The spelling of 114164506560 in words is "one hundred fourteen billion, one hundred sixty-four million, five hundred six thousand, five hundred sixty".