45071833497600 has 2112 divisors, whose sum is σ = 190129566928896. Its totient is φ = 9168412999680.

The previous prime is 45071833497577. The next prime is 45071833497659. The reversal of 45071833497600 is 679433817054.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 672713932767 + ... + 672713932833.

Almost surely, 2^{45071833497600} is an apocalyptic number.

45071833497600 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 45071833497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95064783464448).

45071833497600 is an abundant number, since it is smaller than the sum of its proper divisors (145057733431296).

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

45071833497600 is an frugal number, since it uses more digits than its factorization.

45071833497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 45071833497600 in words is "forty-five trillion, seventy-one billion, eight hundred thirty-three million, four hundred ninety-seven thousand, six hundred".