114546643140 has 192 divisors, whose sum is σ = 337732190208. Its totient is φ = 28973376000.

The previous prime is 114546643111. The next prime is 114546643147. The reversal of 114546643140 is 41346645411.

It is not an unprimeable number, because it can be changed into a prime (114546643147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28274115 + ... + 28278165.

It is an arithmetic number, because the mean of its divisors is an integer number (1759021824).

Almost surely, 2^114546643140 is an apocalyptic number.

114546643140 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 114546643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168866095104).

114546643140 is an abundant number, since it is smaller than the sum of its proper divisors (223185547068).

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

114546643140 is a wasteful number, since it uses less digits than its factorization.

114546643140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 114546643140 in words is "one hundred fourteen billion, five hundred forty-six million, six hundred forty-three thousand, one hundred forty".