114671837646432 has 1536 divisors, whose sum is σ = 425514365337600. Its totient is φ = 29554672435200.

The previous prime is 114671837646427. The next prime is 114671837646439. The reversal of 114671837646432 is 234646738176411.

114671837646432 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 71 + 8 + 3 + 76 + 464 + 32 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 114671837646432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114671837646439) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 28030268707 + ... + 28030272797.

It is an arithmetic number, because the mean of its divisors is an integer number (277027581600).

Almost surely, 2^{114671837646432} is an apocalyptic number.

114671837646432 is a gapful number since it is divisible by the number (12) 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 114671837646432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212757182668800).

114671837646432 is an abundant number, since it is smaller than the sum of its proper divisors (310842527691168).

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

114671837646432 is a wasteful number, since it uses less digits than its factorization.

114671837646432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4563 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 114671837646432 in words is "one hundred fourteen trillion, six hundred seventy-one billion, eight hundred thirty-seven million, six hundred forty-six thousand, four hundred thirty-two".