14842856064 has 256 divisors, whose sum is σ = 43099879680. Its totient is φ = 4512448512.

The previous prime is 14842856051. The next prime is 14842856099. The reversal of 14842856064 is 46065824841.

It is a super-2 number, since 2×14842856064² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17319124 + ... + 17319980.

It is an arithmetic number, because the mean of its divisors is an integer number (168358905).

Almost surely, 2^14842856064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14842856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21549939840).

14842856064 is an abundant number, since it is smaller than the sum of its proper divisors (28257023616).

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

14842856064 is a wasteful number, since it uses less digits than its factorization.

14842856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 14842856064 in words is "fourteen billion, eight hundred forty-two million, eight hundred fifty-six thousand, sixty-four".