114382464768 has 576 divisors, whose sum is σ = 410312232960. Its totient is φ = 30954700800.

The previous prime is 114382464731. The next prime is 114382464769. The reversal of 114382464768 is 867464283411.

114382464768 is a `hidden beast` number, since 1 + 1 + 43 + 82 + 464 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×114382464768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114382464769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30639030 + ... + 30642762.

Almost surely, 2^114382464768 is an apocalyptic number.

114382464768 is a gapful number since it is divisible by the number (18) 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 114382464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205156116480).

114382464768 is an abundant number, since it is smaller than the sum of its proper divisors (295929768192).

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

114382464768 is a wasteful number, since it uses less digits than its factorization.

114382464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3793 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 114382464768 in words is "one hundred fourteen billion, three hundred eighty-two million, four hundred sixty-four thousand, seven hundred sixty-eight".