114056545346040 has 192 divisors, whose sum is σ = 376123447486080. Its totient is φ = 27648628268800.

The previous prime is 114056545345909. The next prime is 114056545346063. The reversal of 114056545346040 is 40643545650411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292339495 + ... + 292729385.

It is an arithmetic number, because the mean of its divisors is an integer number (1958976288990).

Almost surely, 2^{114056545346040} is an apocalyptic number.

114056545346040 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 114056545346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188061723743040).

114056545346040 is an abundant number, since it is smaller than the sum of its proper divisors (262066902140040).

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

114056545346040 is a wasteful number, since it uses less digits than its factorization.

114056545346040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410074 (or 410059 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 114056545346040 in words is "one hundred fourteen trillion, fifty-six billion, five hundred forty-five million, three hundred forty-six thousand, forty".