114026204316960 has 1536 divisors, whose sum is σ = 446889332736000. Its totient is φ = 26975140577280.

The previous prime is 114026204316949. The next prime is 114026204316971. The reversal of 114026204316960 is 69613402620411.

114026204316960 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 620 + 4 + 3 + 16 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114026204316949) and next prime (114026204316971).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43571341572 + ... + 43571344188.

It is an arithmetic number, because the mean of its divisors is an integer number (290943576000).

Almost surely, 2^{114026204316960} is an apocalyptic number.

114026204316960 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 114026204316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223444666368000).

114026204316960 is an abundant number, since it is smaller than the sum of its proper divisors (332863128419040).

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

114026204316960 is a wasteful number, since it uses less digits than its factorization.

114026204316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 114026204316960 in words is "one hundred fourteen trillion, twenty-six billion, two hundred four million, three hundred sixteen thousand, nine hundred sixty".