133472801000448 has 1056 divisors, whose sum is σ = 478300681098240. Its totient is φ = 34908621373440.

The previous prime is 133472801000419. The next prime is 133472801000501. The reversal of 133472801000448 is 844000108274331.

133472801000448 is a `hidden beast` number, since 1 + 3 + 34 + 72 + 8 + 0 + 100 + 0 + 448 = 666.

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, 79971719358 + ... + 79971721026.

It is an arithmetic number, because the mean of its divisors is an integer number (452936251040).

Almost surely, 2^{133472801000448} is an apocalyptic number.

133472801000448 is a gapful number since it is divisible by the number (18) 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 133472801000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239150340549120).

133472801000448 is an abundant number, since it is smaller than the sum of its proper divisors (344827880097792).

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

133472801000448 is a wasteful number, since it uses less digits than its factorization.

133472801000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

Adding to 133472801000448 its reverse (844000108274331), we get a palindrome (977472909274779).

The spelling of 133472801000448 in words is "one hundred thirty-three trillion, four hundred seventy-two billion, eight hundred one million, four hundred forty-eight", and thus it is an aban number.