45078259200000 has 1248 divisors, whose sum is σ = 164138158360512. Its totient is φ = 10935336960000.

The previous prime is 45078259199983. The next prime is 45078259200059. The reversal of 45078259200000 is 295287054.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 36441599382 + ... + 36441600618.

Almost surely, 2^{45078259200000} is an apocalyptic number.

45078259200000 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 45078259200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82069079180256).

45078259200000 is an abundant number, since it is smaller than the sum of its proper divisors (119059899160512).

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

45078259200000 is an equidigital number, since it uses as much as digits as its factorization.

45078259200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 45078259200000 in words is "forty-five trillion, seventy-eight billion, two hundred fifty-nine million, two hundred thousand".