114123827048400 has 1680 divisors, whose sum is σ = 449556282806400. Its totient is φ = 27660856872960.

The previous prime is 114123827048377. The next prime is 114123827048401. The reversal of 114123827048400 is 4840728321411.

114123827048400 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 23 + 82 + 70 + 484 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123827048401) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 73962298029 + ... + 73962299571.

It is an arithmetic number, because the mean of its divisors is an integer number (267593025480).

Almost surely, 2^{114123827048400} is an apocalyptic number.

114123827048400 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 114123827048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224778141403200).

114123827048400 is an abundant number, since it is smaller than the sum of its proper divisors (335432455758000).

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

114123827048400 is a wasteful number, since it uses less digits than its factorization.

114123827048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 114123827048400 in words is "one hundred fourteen trillion, one hundred twenty-three billion, eight hundred twenty-seven million, forty-eight thousand, four hundred".