114954850890000 has 2625 divisors, whose sum is σ = 484149909372899. Its totient is φ = 26401114080000.

The previous prime is 114954850889959. The next prime is 114954850890017. The reversal of 114954850890000 is 98058459411.

The square root of 114954850890000 is 10721700.

It is a perfect power (a square), and thus also a powerful number.

114954850890000 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 5 + 48 + 508 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9012460309776 + 105942390580224 = 3002076^2 + 10292832^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 524 ways as a sum of consecutive naturals, for example, 6050255309991 + ... + 6050255310009.

Almost surely, 2^{114954850890000} is an apocalyptic number.

114954850890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114954850890000 is the 10721700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114954850890000

114954850890000 is an abundant number, since it is smaller than the sum of its proper divisors (369195058482899).

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

114954850890000 is an frugal number, since it uses more digits than its factorization.

114954850890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 114954850890000 in words is "one hundred fourteen trillion, nine hundred fifty-four billion, eight hundred fifty million, eight hundred ninety thousand".