114504511320 has 192 divisors, whose sum is σ = 374761520640. Its totient is φ = 30320160000.

The previous prime is 114504511249. The next prime is 114504511349. The reversal of 114504511320 is 23115405411.

114504511320 is a `hidden beast` number, since 1 + 145 + 0 + 4 + 511 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×114504511320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35219695 + ... + 35222945.

It is an arithmetic number, because the mean of its divisors is an integer number (1951882920).

Almost surely, 2^114504511320 is an apocalyptic number.

114504511320 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 114504511320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187380760320).

114504511320 is an abundant number, since it is smaller than the sum of its proper divisors (260257009320).

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

114504511320 is a wasteful number, since it uses less digits than its factorization.

114504511320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 114504511320 its reverse (23115405411), we get a palindrome (137619916731).

The spelling of 114504511320 in words is "one hundred fourteen billion, five hundred four million, five hundred eleven thousand, three hundred twenty".