114191061840 has 240 divisors, whose sum is σ = 396242496000. Its totient is φ = 29440373760.

The previous prime is 114191061839. The next prime is 114191061851. The reversal of 114191061840 is 48160191411.

114191061840 is a `hidden beast` number, since 1 + 14 + 19 + 10 + 618 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114191061795 and 114191061804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33455974 + ... + 33459386.

It is an arithmetic number, because the mean of its divisors is an integer number (1651010400).

Almost surely, 2^114191061840 is an apocalyptic number.

114191061840 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 114191061840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198121248000).

114191061840 is an abundant number, since it is smaller than the sum of its proper divisors (282051434160).

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

114191061840 is a wasteful number, since it uses less digits than its factorization.

114191061840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 114191061840 in words is "one hundred fourteen billion, one hundred ninety-one million, sixty-one thousand, eight hundred forty".