114324729802920 has 960 divisors, whose sum is σ = 490461382469520. Its totient is φ = 23666120884224.

The previous prime is 114324729802919. The next prime is 114324729802981. The reversal of 114324729802920 is 29208927423411.

114324729802920 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 2 + 472 + 9 + 80 + 2 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24280078860324 + 90044650942596 = 4927482^2 + 9489186^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 108863064 + ... + 109908216.

Almost surely, 2^{114324729802920} is an apocalyptic number.

114324729802920 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 114324729802920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245230691234760).

114324729802920 is an abundant number, since it is smaller than the sum of its proper divisors (376136652666600).

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

114324729802920 is a wasteful number, since it uses less digits than its factorization.

114324729802920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045256 (or 1045236 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 114324729802920 in words is "one hundred fourteen trillion, three hundred twenty-four billion, seven hundred twenty-nine million, eight hundred two thousand, nine hundred twenty".