4814790285456 has 480 divisors, whose sum is σ = 15726133463040. Its totient is φ = 1417089779712.

The previous prime is 4814790285377. The next prime is 4814790285479. The reversal of 4814790285456 is 6545820974184.

It is a happy number.

4814790285456 is a `hidden beast` number, since 4 + 8 + 14 + 7 + 90 + 2 + 85 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4814790285393 and 4814790285402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129331261 + ... + 129368483.

It is an arithmetic number, because the mean of its divisors is an integer number (32762778048).

Almost surely, 2^{4814790285456} 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 4814790285456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863066731520).

4814790285456 is an abundant number, since it is smaller than the sum of its proper divisors (10911343177584).

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

4814790285456 is a wasteful number, since it uses less digits than its factorization.

4814790285456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37385 (or 37367 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 4814790285456 in words is "four trillion, eight hundred fourteen billion, seven hundred ninety million, two hundred eighty-five thousand, four hundred fifty-six".