45005414660772 has 96 divisors (see below), whose sum is σ = 110419571146752. Its totient is φ = 14239477714176.

The previous prime is 45005414660747. The next prime is 45005414660797. The reversal of 45005414660772 is 27706641450054.

45005414660772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45005414660747) and next prime (45005414660797).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101379363 + ... + 101822325.

It is an arithmetic number, because the mean of its divisors is an integer number (1150203866112).

Almost surely, 2^{45005414660772} 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 45005414660772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55209785573376).

45005414660772 is an abundant number, since it is smaller than the sum of its proper divisors (65414156485980).

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

45005414660772 is a wasteful number, since it uses less digits than its factorization.

45005414660772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445817 (or 445815 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 45005414660772 in words is "forty-five trillion, five billion, four hundred fourteen million, six hundred sixty thousand, seven hundred seventy-two".