114027264000 has 1344 divisors, whose sum is σ = 469210734720. Its totient is φ = 27471052800.

The previous prime is 114027263929. The next prime is 114027264019. The reversal of 114027264000 is 462720411.

114027264000 is a `hidden beast` number, since 1 + 14 + 0 + 2 + 7 + 2 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2426111977 + ... + 2426112023.

It is an arithmetic number, because the mean of its divisors is an integer number (349115130).

Almost surely, 2^114027264000 is an apocalyptic number.

114027264000 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 114027264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234605367360).

114027264000 is an abundant number, since it is smaller than the sum of its proper divisors (355183470720).

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

114027264000 is an frugal number, since it uses more digits than its factorization.

114027264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 114027264000 its reverse (462720411), we get a palindrome (114489984411).

The spelling of 114027264000 in words is "one hundred fourteen billion, twenty-seven million, two hundred sixty-four thousand".