45205903872 has 320 divisors, whose sum is σ = 142745328000. Its totient is φ = 14076149760.

The previous prime is 45205903829. The next prime is 45205903901. The reversal of 45205903872 is 27830950254.

45205903872 is a `hidden beast` number, since 4 + 5 + 20 + 590 + 38 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35015547 + ... + 35016837.

It is an arithmetic number, because the mean of its divisors is an integer number (446079150).

Almost surely, 2^45205903872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45205903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71372664000).

45205903872 is an abundant number, since it is smaller than the sum of its proper divisors (97539424128).

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

45205903872 is a wasteful number, since it uses less digits than its factorization.

45205903872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 45205903872 in words is "forty-five billion, two hundred five million, nine hundred three thousand, eight hundred seventy-two".