114510228480 has 528 divisors, whose sum is σ = 416460021120. Its totient is φ = 29058269184.

The previous prime is 114510228479. The next prime is 114510228493. The reversal of 114510228480 is 84822015411.

114510228480 is a `hidden beast` number, since 1 + 145 + 10 + 2 + 28 + 480 = 666.

114510228480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114510228480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 80132406 + ... + 80133834.

It is an arithmetic number, because the mean of its divisors is an integer number (788750040).

Almost surely, 2^114510228480 is an apocalyptic number.

114510228480 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 114510228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208230010560).

114510228480 is an abundant number, since it is smaller than the sum of its proper divisors (301949792640).

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

114510228480 is a wasteful number, since it uses less digits than its factorization.

114510228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 114510228480 in words is "one hundred fourteen billion, five hundred ten million, two hundred twenty-eight thousand, four hundred eighty".