114882195456 has 208 divisors, whose sum is σ = 388974208000. Its totient is φ = 32823263232.

The previous prime is 114882195431. The next prime is 114882195481. The reversal of 114882195456 is 654591288411.

114882195456 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 82 + 19 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (114882195431) and next prime (114882195481).

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 15 ways as a sum of consecutive naturals, for example, 699945 + ... + 848343.

Almost surely, 2^114882195456 is an apocalyptic number.

114882195456 is a gapful number since it is divisible by the number (16) 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 114882195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194487104000).

114882195456 is an abundant number, since it is smaller than the sum of its proper divisors (274092012544).

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

114882195456 is an equidigital number, since it uses as much as digits as its factorization.

114882195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148439 (or 148411 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 114882195456 in words is "one hundred fourteen billion, eight hundred eighty-two million, one hundred ninety-five thousand, four hundred fifty-six".