114453717984 has 240 divisors, whose sum is σ = 352310666400. Its totient is φ = 36381312000.

The previous prime is 114453717979. The next prime is 114453717991. The reversal of 114453717984 is 489717354411.

114453717984 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 537 + 17 + 98 + 4 = 666.

114453717984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114453717984² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114453717984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20803234 + ... + 20808734.

It is an arithmetic number, because the mean of its divisors is an integer number (1467961110).

Almost surely, 2^114453717984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114453717984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176155333200).

114453717984 is an abundant number, since it is smaller than the sum of its proper divisors (237856948416).

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

114453717984 is a wasteful number, since it uses less digits than its factorization.

114453717984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5878 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 114453717984 in words is "one hundred fourteen billion, four hundred fifty-three million, seven hundred seventeen thousand, nine hundred eighty-four".