45448540704 has 144 divisors (see below), whose sum is σ = 149142494592. Its totient is φ = 12859167744.

The previous prime is 45448540703. The next prime is 45448540717. The reversal of 45448540704 is 40704584454.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45448540704.

It is not an unprimeable number, because it can be changed into a prime (45448540703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98212 + ... + 317084.

It is an arithmetic number, because the mean of its divisors is an integer number (1035711768).

Almost surely, 2^45448540704 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 45448540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74571247296).

45448540704 is an abundant number, since it is smaller than the sum of its proper divisors (103693953888).

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

45448540704 is a wasteful number, since it uses less digits than its factorization.

45448540704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218999 (or 218988 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 45448540704 in words is "forty-five billion, four hundred forty-eight million, five hundred forty thousand, seven hundred four".