114418618090560 has 336 divisors, whose sum is σ = 450745610405376. Its totient is φ = 26096339275776.

The previous prime is 114418618090559. The next prime is 114418618090583. The reversal of 114418618090560 is 65090816814411.

114418618090560 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 18 + 61 + 8 + 0 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×114418618090560² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114418618090497 and 114418618090506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3205002 + ... + 15463158.

Almost surely, 2^{114418618090560} is an apocalyptic number.

114418618090560 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 114418618090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225372805202688).

114418618090560 is an abundant number, since it is smaller than the sum of its proper divisors (336326992314816).

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

114418618090560 is a wasteful number, since it uses less digits than its factorization.

114418618090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258650 (or 12258637 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 114418618090560 in words is "one hundred fourteen trillion, four hundred eighteen billion, six hundred eighteen million, ninety thousand, five hundred sixty".