114505330515400 has 192 divisors, whose sum is σ = 297529135666560. Its totient is φ = 40620222720000.

The previous prime is 114505330515383. The next prime is 114505330515413. The reversal of 114505330515400 is 4515033505411.

It is a super-2 number, since 2×114505330515400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114505330515400.

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, 2057163570 + ... + 2057219230.

It is an arithmetic number, because the mean of its divisors is an integer number (1549630914930).

Almost surely, 2^{114505330515400} is an apocalyptic number.

114505330515400 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 114505330515400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148764567833280).

114505330515400 is an abundant number, since it is smaller than the sum of its proper divisors (183023805151160).

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

114505330515400 is a wasteful number, since it uses less digits than its factorization.

114505330515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78536 (or 78527 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 114505330515400 in words is "one hundred fourteen trillion, five hundred five billion, three hundred thirty million, five hundred fifteen thousand, four hundred".