114505210113300 has 1080 divisors, whose sum is σ = 409022138852096. Its totient is φ = 27683923599360.

The previous prime is 114505210113299. The next prime is 114505210113341. The reversal of 114505210113300 is 3311012505411.

114505210113300 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 521 + 0 + 1 + 133 + 0 + 0 = 666.

It is a super-2 number, since 2×114505210113300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7348077309 + ... + 7348092891.

Almost surely, 2^{114505210113300} is an apocalyptic number.

114505210113300 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 114505210113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204511069426048).

114505210113300 is an abundant number, since it is smaller than the sum of its proper divisors (294516928738796).

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

114505210113300 is a wasteful number, since it uses less digits than its factorization.

114505210113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15759 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 114505210113300 its reverse (3311012505411), we get a palindrome (117816222618711).

The spelling of 114505210113300 in words is "one hundred fourteen trillion, five hundred five billion, two hundred ten million, one hundred thirteen thousand, three hundred".