114869778048 has 576 divisors, whose sum is σ = 378225057600. Its totient is φ = 34586652672.

The previous prime is 114869778031. The next prime is 114869778077. The reversal of 114869778048 is 840877968411.

114869778048 is a `hidden beast` number, since 1 + 1 + 486 + 9 + 77 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 366995940 + ... + 366996252.

It is an arithmetic number, because the mean of its divisors is an integer number (656640725).

Almost surely, 2^114869778048 is an apocalyptic number.

114869778048 is a gapful number since it is divisible by the number (18) 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 114869778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112528800).

114869778048 is an abundant number, since it is smaller than the sum of its proper divisors (263355279552).

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

114869778048 is an frugal number, since it uses more digits than its factorization.

114869778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 114869778048 in words is "one hundred fourteen billion, eight hundred sixty-nine million, seven hundred seventy-eight thousand, forty-eight".