114048658080 has 576 divisors, whose sum is σ = 451742054400. Its totient is φ = 25664421888.

The previous prime is 114048658057. The next prime is 114048658091. The reversal of 114048658080 is 80856840411.

114048658080 is a `hidden beast` number, since 1 + 1 + 40 + 486 + 58 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254005696 + ... + 254006144.

It is an arithmetic number, because the mean of its divisors is an integer number (784274400).

Almost surely, 2^114048658080 is an apocalyptic number.

114048658080 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 114048658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225871027200).

114048658080 is an abundant number, since it is smaller than the sum of its proper divisors (337693396320).

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

114048658080 is a wasteful number, since it uses less digits than its factorization.

114048658080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 114048658080 in words is "one hundred fourteen billion, forty-eight million, six hundred fifty-eight thousand, eighty".