4496774713600 has 243 divisors, whose sum is σ = 12058163861583. Its totient is φ = 1659533291520.

The previous prime is 4496774713553. The next prime is 4496774713643. The reversal of 4496774713600 is 63174776944.

The square root of 4496774713600 is 2120560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1159050334464 + 3337724379136 = 1076592^2 + 1826944^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 2205381381 + ... + 2205383419.

Almost surely, 2^{4496774713600} is an apocalyptic number.

4496774713600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4496774713600 is the 2120560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4496774713600

4496774713600 is an abundant number, since it is smaller than the sum of its proper divisors (7561389147983).

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

4496774713600 is an frugal number, since it uses more digits than its factorization.

4496774713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 58.

The spelling of 4496774713600 in words is "four trillion, four hundred ninety-six billion, seven hundred seventy-four million, seven hundred thirteen thousand, six hundred".