1333472544768 has 384 divisors, whose sum is σ = 4398717173760. Its totient is φ = 349815767040.

The previous prime is 1333472544661. The next prime is 1333472544773. The reversal of 1333472544768 is 8674452743331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1333472544768³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106782621 + ... + 106795107.

It is an arithmetic number, because the mean of its divisors is an integer number (11454992640).

Almost surely, 2^{1333472544768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333472544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199358586880).

1333472544768 is an abundant number, since it is smaller than the sum of its proper divisors (3065244628992).

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

1333472544768 is a wasteful number, since it uses less digits than its factorization.

1333472544768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723 (or 12703 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 57.

The spelling of 1333472544768 in words is "one trillion, three hundred thirty-three billion, four hundred seventy-two million, five hundred forty-four thousand, seven hundred sixty-eight".