114218293857408 has 512 divisors, whose sum is σ = 379270745280000. Its totient is φ = 33596223897600.

The previous prime is 114218293857383. The next prime is 114218293857427. The reversal of 114218293857408 is 804758392812411.

114218293857408 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 8 + 29 + 38 + 574 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131160133 + ... + 132028091.

It is an arithmetic number, because the mean of its divisors is an integer number (740763174375).

Almost surely, 2^{114218293857408} is an apocalyptic number.

114218293857408 is a gapful number since it is divisible by the number (18) 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 114218293857408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189635372640000).

114218293857408 is an abundant number, since it is smaller than the sum of its proper divisors (265052451422592).

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

114218293857408 is a wasteful number, since it uses less digits than its factorization.

114218293857408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868125 (or 868107 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 114218293857408 in words is "one hundred fourteen trillion, two hundred eighteen billion, two hundred ninety-three million, eight hundred fifty-seven thousand, four hundred eight".