114465835260 has 288 divisors, whose sum is σ = 413832706560. Its totient is φ = 26016069888.

The previous prime is 114465835249. The next prime is 114465835307. The reversal of 114465835260 is 62538564411.

114465835260 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 583 + 5 + 2 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6080182 + ... + 6098978.

It is an arithmetic number, because the mean of its divisors is an integer number (1436919120).

Almost surely, 2^114465835260 is an apocalyptic number.

114465835260 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 114465835260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206916353280).

114465835260 is an abundant number, since it is smaller than the sum of its proper divisors (299366871300).

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

114465835260 is a wasteful number, since it uses less digits than its factorization.

114465835260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19007 (or 18993 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 114465835260 in words is "one hundred fourteen billion, four hundred sixty-five million, eight hundred thirty-five thousand, two hundred sixty".