1003288073472 has 216 divisors, whose sum is σ = 3012461262720. Its totient is φ = 333025136640.

The previous prime is 1003288073453. The next prime is 1003288073521. The reversal of 1003288073472 is 2743708823001.

1003288073472 is a `hidden beast` number, since 1 + 0 + 0 + 32 + 8 + 80 + 73 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14833972 + ... + 14901452.

It is an arithmetic number, because the mean of its divisors is an integer number (13946579920).

Almost surely, 2^{1003288073472} is an apocalyptic number.

1003288073472 is a gapful number since it is divisible by the number (12) 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 1003288073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506230631360).

1003288073472 is an abundant number, since it is smaller than the sum of its proper divisors (2009173189248).

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

1003288073472 is an frugal number, since it uses more digits than its factorization.

1003288073472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67751 (or 67725 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1003288073472 in words is "one trillion, three billion, two hundred eighty-eight million, seventy-three thousand, four hundred seventy-two".