114341782464 has 560 divisors, whose sum is σ = 420004451328. Its totient is φ = 29950912512.

The previous prime is 114341782411. The next prime is 114341782531. The reversal of 114341782464 is 464287143411.

114341782464 is a `hidden beast` number, since 1 + 1 + 434 + 178 + 2 + 46 + 4 = 666.

It is a super-2 number, since 2×114341782464² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76893529 + ... + 76895015.

Almost surely, 2^114341782464 is an apocalyptic number.

114341782464 is a gapful number since it is divisible by the number (14) 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 114341782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210002225664).

114341782464 is an abundant number, since it is smaller than the sum of its proper divisors (305662668864).

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

114341782464 is a wasteful number, since it uses less digits than its factorization.

114341782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1675 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 114341782464 in words is "one hundred fourteen billion, three hundred forty-one million, seven hundred eighty-two thousand, four hundred sixty-four".