114623066533440 has 448 divisors, whose sum is σ = 382690094054400. Its totient is φ = 29030655467520.

The previous prime is 114623066533433. The next prime is 114623066533529. The reversal of 114623066533440 is 44335660326411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 114623066533440.

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 63 ways as a sum of consecutive naturals, for example, 2594962555 + ... + 2595006725.

Almost surely, 2^{114623066533440} is an apocalyptic number.

114623066533440 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 114623066533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191345047027200).

114623066533440 is an abundant number, since it is smaller than the sum of its proper divisors (268067027520960).

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

114623066533440 is a wasteful number, since it uses less digits than its factorization.

114623066533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45970 (or 45960 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 114623066533440 in words is "one hundred fourteen trillion, six hundred twenty-three billion, sixty-six million, five hundred thirty-three thousand, four hundred forty".