1288949328352 has 48 divisors (see below), whose sum is σ = 2993688778752. Its totient is φ = 534587276160.

The previous prime is 1288949328311. The next prime is 1288949328391. The reversal of 1288949328352 is 2538239498821.

It is a super-2 number, since 2×1288949328352² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92803348 + ... + 92817235.

It is an arithmetic number, because the mean of its divisors is an integer number (62368516224).

Almost surely, 2^{1288949328352} is an apocalyptic number.

It is an amenable number.

1288949328352 is an abundant number, since it is smaller than the sum of its proper divisors (1704739450400).

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

1288949328352 is a wasteful number, since it uses less digits than its factorization.

1288949328352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185620631 (or 185620623 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 64.

It can be divided in two parts, 1288949 and 328352, that added together give a triangular number (1617301 = T₁₇₉₈).

The spelling of 1288949328352 in words is "one trillion, two hundred eighty-eight billion, nine hundred forty-nine million, three hundred twenty-eight thousand, three hundred fifty-two".