1128583273104 has 135 divisors (see below), whose sum is σ = 3674424092547. Its totient is φ = 322426867392.

The previous prime is 1128583273063. The next prime is 1128583273109. The reversal of 1128583273104 is 4013723858211.

The square root of 1128583273104 is 1062348.

It is a perfect power (a square), and thus also a powerful number.

1128583273104 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 5 + 8 + 327 + 310 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1128583273104.

It is not an unprimeable number, because it can be changed into a prime (1128583273109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89230909 + ... + 89243555.

Almost surely, 2^{1128583273104} is an apocalyptic number.

1128583273104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1128583273104 is the 1062348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128583273104

1128583273104 is an abundant number, since it is smaller than the sum of its proper divisors (2545840819443).

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

1128583273104 is an frugal number, since it uses more digits than its factorization.

1128583273104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25322 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1128583273104 in words is "one trillion, one hundred twenty-eight billion, five hundred eighty-three million, two hundred seventy-three thousand, one hundred four".