45189805140480 has 2560 divisors, whose sum is σ = 199770797850624. Its totient is φ = 8410890240000.

The previous prime is 45189805140437. The next prime is 45189805140509. The reversal of 45189805140480 is 8404150898154.

45189805140480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a self number, because there is not a number n which added to its sum of digits gives 45189805140480.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 98025607450 + ... + 98025607910.

Almost surely, 2^{45189805140480} is an apocalyptic number.

45189805140480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45189805140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99885398925312).

45189805140480 is an abundant number, since it is smaller than the sum of its proper divisors (154580992710144).

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

45189805140480 is a wasteful number, since it uses less digits than its factorization.

45189805140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 57.

The spelling of 45189805140480 in words is "forty-five trillion, one hundred eighty-nine billion, eight hundred five million, one hundred forty thousand, four hundred eighty".