114695211840 has 224 divisors, whose sum is σ = 397511625600. Its totient is φ = 27787468800.

The previous prime is 114695211823. The next prime is 114695211859. The reversal of 114695211840 is 48112596411.

114695211840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 114695211792 and 114695211801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26915310 + ... + 26919570.

Almost surely, 2^114695211840 is an apocalyptic number.

114695211840 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 114695211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198755812800).

114695211840 is an abundant number, since it is smaller than the sum of its proper divisors (282816413760).

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

114695211840 is a wasteful number, since it uses less digits than its factorization.

114695211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 114695211840 in words is "one hundred fourteen billion, six hundred ninety-five million, two hundred eleven thousand, eight hundred forty".