45006773904 has 225 divisors, whose sum is σ = 133734211699. Its totient is φ = 14612754240.

The previous prime is 45006773899. The next prime is 45006773951. The reversal of 45006773904 is 40937760054.

The square root of 45006773904 is 212148.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45006773904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 542250247 + ... + 542250329.

Almost surely, 2^45006773904 is an apocalyptic number.

45006773904 is the 212148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45006773904

45006773904 is an abundant number, since it is smaller than the sum of its proper divisors (88727437795).

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

45006773904 is an frugal number, since it uses more digits than its factorization.

45006773904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 45006773904 in words is "forty-five billion, six million, seven hundred seventy-three thousand, nine hundred four".