46825444639744 has 99 divisors (see below), whose sum is σ = 94063065560743. Its totient is φ = 23298746777600.

The previous prime is 46825444639709. The next prime is 46825444639769. The reversal of 46825444639744 is 44793644452864.

The square root of 46825444639744 is 6842912.

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 12980974879744 + 33844469760000 = 3602912^2 + 5817600^2 .

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61531464324 + ... + 61531465084.

Almost surely, 2^{46825444639744} is an apocalyptic number.

46825444639744 is the 6842912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46825444639744

46825444639744 is an abundant number, since it is smaller than the sum of its proper divisors (47237620920999).

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

46825444639744 is an frugal number, since it uses more digits than its factorization.

46825444639744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 1044 counting only the distinct ones).

The product of its digits is 2229534720, while the sum is 70.

The spelling of 46825444639744 in words is "forty-six trillion, eight hundred twenty-five billion, four hundred forty-four million, six hundred thirty-nine thousand, seven hundred forty-four".