114091740561024 has 192 divisors, whose sum is σ = 335388080757600. Its totient is φ = 37214563276800.

The previous prime is 114091740560983. The next prime is 114091740561059. The reversal of 114091740561024 is 420165047190411.

114091740561024 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 9 + 1 + 7 + 4 + 0 + 5 + 610 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 20674999 + ... + 25605449.

Almost surely, 2^{114091740561024} 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 114091740561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167694040378800).

114091740561024 is an abundant number, since it is smaller than the sum of its proper divisors (221296340196576).

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

114091740561024 is a wasteful number, since it uses less digits than its factorization.

114091740561024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930903 (or 4930888 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 114091740561024 in words is "one hundred fourteen trillion, ninety-one billion, seven hundred forty million, five hundred sixty-one thousand, twenty-four".