45067271208960 has 2176 divisors, whose sum is σ = 195494682378240. Its totient is φ = 8612374118400.

The previous prime is 45067271208941. The next prime is 45067271208989. The reversal of 45067271208960 is 6980217276054.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45067271208960.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166299893625 + ... + 166299893895.

It is an arithmetic number, because the mean of its divisors is an integer number (89841306240).

Almost surely, 2^{45067271208960} is an apocalyptic number.

45067271208960 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 45067271208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97747341189120).

45067271208960 is an abundant number, since it is smaller than the sum of its proper divisors (150427411169280).

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

45067271208960 is an equidigital number, since it uses as much as digits as its factorization.

45067271208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 45067271208960 in words is "forty-five trillion, sixty-seven billion, two hundred seventy-one million, two hundred eight thousand, nine hundred sixty".