45764792041024 has 189 divisors, whose sum is σ = 106732434550833. Its totient is φ = 19412968651776.

The previous prime is 45764792041013. The next prime is 45764792041043. The reversal of 45764792041024 is 42014029746754.

It is a happy number.

The square root of 45764792041024 is 6764968.

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., 3886291791424 + 41878500249600 = 1971368^2 + 6471360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40535687692 + ... + 40535688820.

Almost surely, 2^{45764792041024} is an apocalyptic number.

45764792041024 is the 6764968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45764792041024

45764792041024 is an abundant number, since it is smaller than the sum of its proper divisors (60967642509809).

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

45764792041024 is an frugal number, since it uses more digits than its factorization.

45764792041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 45764792041024 in words is "forty-five trillion, seven hundred sixty-four billion, seven hundred ninety-two million, forty-one thousand, twenty-four".