45829406746564 has 135 divisors (see below), whose sum is σ = 96211405849293. Its totient is φ = 19100095920864.

The previous prime is 45829406746517. The next prime is 45829406746583. The reversal of 45829406746564 is 46564760492854.

The square root of 45829406746564 is 6769742.

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

It can be written as a sum of positive squares in only one way, i.e., 41008782516100 + 4820624230464 = 6403810^2 + 2195592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45829406746493 and 45829406746502.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24547083559 + ... + 24547085425.

Almost surely, 2^{45829406746564} is an apocalyptic number.

45829406746564 is the 6769742-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45829406746564

45829406746564 is an abundant number, since it is smaller than the sum of its proper divisors (50381999102729).

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

45829406746564 is an frugal number, since it uses more digits than its factorization.

45829406746564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 70.

The spelling of 45829406746564 in words is "forty-five trillion, eight hundred twenty-nine billion, four hundred six million, seven hundred forty-six thousand, five hundred sixty-four".