114027446463840 has 3456 divisors, whose sum is σ = 524558858084352. Its totient is φ = 23228686172160.

The previous prime is 114027446463797. The next prime is 114027446463877. The reversal of 114027446463840 is 48364644720411.

It is a happy number.

114027446463840 is a `hidden beast` number, since 1 + 1 + 40 + 2 + 7 + 4 + 464 + 63 + 84 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 263342832264 + ... + 263342832696.

It is an arithmetic number, because the mean of its divisors is an integer number (151782076992).

Almost surely, 2^{114027446463840} is an apocalyptic number.

114027446463840 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 114027446463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262279429042176).

114027446463840 is an abundant number, since it is smaller than the sum of its proper divisors (410531411620512).

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

114027446463840 is an frugal number, since it uses more digits than its factorization.

114027446463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 114027446463840 in words is "one hundred fourteen trillion, twenty-seven billion, four hundred forty-six million, four hundred sixty-three thousand, eight hundred forty".