114849487872 has 880 divisors, whose sum is σ = 428003136000. Its totient is φ = 29931503616.

The previous prime is 114849487867. The next prime is 114849487897. The reversal of 114849487872 is 278784948411.

114849487872 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 494 + 8 + 78 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 319914829 + ... + 319915187.

It is an arithmetic number, because the mean of its divisors is an integer number (486367200).

Almost surely, 2^114849487872 is an apocalyptic number.

114849487872 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 114849487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214001568000).

114849487872 is an abundant number, since it is smaller than the sum of its proper divisors (313153648128).

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

114849487872 is a wasteful number, since it uses less digits than its factorization.

114849487872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 419 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 63.

The spelling of 114849487872 in words is "one hundred fourteen billion, eight hundred forty-nine million, four hundred eighty-seven thousand, eight hundred seventy-two".