45192807396 has 81 divisors (see below), whose sum is σ = 125605696489. Its totient is φ = 13690538400.

The previous prime is 45192807389. The next prime is 45192807397. The reversal of 45192807396 is 69370829154.

The square root of 45192807396 is 212586.

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., 34862117796 + 10330689600 = 186714^2 + 101640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45192807397) by changing a digit.

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, 14029066 + ... + 14032286.

It is a 2-persistent number, because it is pandigital, and so is 2⋅45192807396 = 90385614792, but 3⋅45192807396 = 135578422188 is not.

Almost surely, 2^45192807396 is an apocalyptic number.

45192807396 is the 212586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45192807396

45192807396 is an abundant number, since it is smaller than the sum of its proper divisors (80412889093).

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

45192807396 is a wasteful number, since it uses less digits than its factorization.

45192807396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 45192807396 in words is "forty-five billion, one hundred ninety-two million, eight hundred seven thousand, three hundred ninety-six".