114426821214720 has 2400 divisors, whose sum is σ = 509143364167680. Its totient is φ = 24436257914880.

The previous prime is 114426821214703. The next prime is 114426821214781. The reversal of 114426821214720 is 27412128624411.

114426821214720 is a `hidden beast` number, since 1 + 1 + 4 + 426 + 8 + 2 + 1 + 214 + 7 + 2 + 0 = 666.

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

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, 9134409097 + ... + 9134421623.

Almost surely, 2^{114426821214720} is an apocalyptic number.

114426821214720 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 114426821214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254571682083840).

114426821214720 is an abundant number, since it is smaller than the sum of its proper divisors (394716542952960).

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

114426821214720 is a wasteful number, since it uses less digits than its factorization.

114426821214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12636 (or 12604 counting only the distinct ones).

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

The spelling of 114426821214720 in words is "one hundred fourteen trillion, four hundred twenty-six billion, eight hundred twenty-one million, two hundred fourteen thousand, seven hundred twenty".