114404504053008 has 160 divisors (see below), whose sum is σ = 322432802979840. Its totient is φ = 34742345863680.

The previous prime is 114404504052973. The next prime is 114404504053039. The reversal of 114404504053008 is 800350405404411.

It is a super-2 number, since 2×114404504053008² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127278085 + ... + 128173787.

It is an arithmetic number, because the mean of its divisors is an integer number (2015205018624).

Almost surely, 2^{114404504053008} 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 114404504053008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161216401489920).

114404504053008 is an abundant number, since it is smaller than the sum of its proper divisors (208028298926832).

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

114404504053008 is a wasteful number, since it uses less digits than its factorization.

114404504053008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898397 (or 898391 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 114404504053008 its reverse (800350405404411), we get a palindrome (914754909457419).

The spelling of 114404504053008 in words is "one hundred fourteen trillion, four hundred four billion, five hundred four million, fifty-three thousand, eight".