114488040273984 has 672 divisors, whose sum is σ = 376496571709440. Its totient is φ = 32950930636800.

The previous prime is 114488040273953. The next prime is 114488040274073. The reversal of 114488040273984 is 489372040884411.

114488040273984 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 8 + 80 + 402 + 73 + 9 + 84 = 666.

It is a super-2 number, since 2×114488040273984² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 52541550207 + ... + 52541552385.

It is an arithmetic number, because the mean of its divisors is an integer number (560262755520).

Almost surely, 2^{114488040273984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114488040273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188248285854720).

114488040273984 is an abundant number, since it is smaller than the sum of its proper divisors (262008531435456).

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

114488040273984 is a wasteful number, since it uses less digits than its factorization.

114488040273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 114488040273984 in words is "one hundred fourteen trillion, four hundred eighty-eight billion, forty million, two hundred seventy-three thousand, nine hundred eighty-four".