1148534087200 has 72 divisors (see below), whose sum is σ = 2832764793012. Its totient is φ = 454677381120.

The previous prime is 1148534087191. The next prime is 1148534087201. The reversal of 1148534087200 is 27804358411.

It can be written as a sum of positive squares in 6 ways, for example, as 375871991056 + 772662096144 = 613084^2 + 879012^2 .

It is not an unprimeable number, because it can be changed into a prime (1148534087201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7322749 + ... + 7477948.

Almost surely, 2^{1148534087200} is an apocalyptic number.

1148534087200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1148534087200 is an abundant number, since it is smaller than the sum of its proper divisors (1684230705812).

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

1148534087200 is a wasteful number, since it uses less digits than its factorization.

1148534087200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14800814 (or 14800801 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 1148534087200 in words is "one trillion, one hundred forty-eight billion, five hundred thirty-four million, eighty-seven thousand, two hundred".