1522736256064 has 63 divisors (see below), whose sum is σ = 3065090243823. Its totient is φ = 750583037952.

The previous prime is 1522736256047. The next prime is 1522736256131. The reversal of 1522736256064 is 4606526372251.

The square root of 1522736256064 is 1233992.

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 612162278464 + 910573977600 = 782408^2 + 954240^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1522736255999 and 1522736256017.

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, 720650272 + ... + 720652384.

Almost surely, 2^{1522736256064} is an apocalyptic number.

1522736256064 is the 1233992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1522736256064

1522736256064 is an abundant number, since it is smaller than the sum of its proper divisors (1542353987759).

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

1522736256064 is an frugal number, since it uses more digits than its factorization.

1522736256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

Multiplying 1522736256064 by its sum of digits (49), we get a square (74614076547136 = 8637944²).

The spelling of 1522736256064 in words is "one trillion, five hundred twenty-two billion, seven hundred thirty-six million, two hundred fifty-six thousand, sixty-four".