4506814792704 has 704 divisors, whose sum is σ = 15478857216000. Its totient is φ = 1159118585856.

The previous prime is 4506814792703. The next prime is 4506814792783. The reversal of 4506814792704 is 4072974186054.

It is a super-2 number, since 2×4506814792704² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4506814792703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411989667 + ... + 412000605.

Almost surely, 2^{4506814792704} 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 4506814792704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739428608000).

4506814792704 is an abundant number, since it is smaller than the sum of its proper divisors (10972042423296).

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

4506814792704 is a wasteful number, since it uses less digits than its factorization.

4506814792704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11023 (or 10991 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 4506814792704 in words is "four trillion, five hundred six billion, eight hundred fourteen million, seven hundred ninety-two thousand, seven hundred four".