114596461440 has 384 divisors, whose sum is σ = 420444367200. Its totient is φ = 28661907456.

The previous prime is 114596461417. The next prime is 114596461453. The reversal of 114596461440 is 44164695411.

114596461440 is a `hidden beast` number, since 1 + 1 + 4 + 596 + 4 + 6 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 30647091 + ... + 30650829.

Almost surely, 2^114596461440 is an apocalyptic number.

114596461440 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 114596461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210222183600).

114596461440 is an abundant number, since it is smaller than the sum of its proper divisors (305847905760).

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

114596461440 is a wasteful number, since it uses less digits than its factorization.

114596461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 114596461440 in words is "one hundred fourteen billion, five hundred ninety-six million, four hundred sixty-one thousand, four hundred forty".