1146140564500 has 24 divisors (see below), whose sum is σ = 2503170993960. Its totient is φ = 458456225600.

The previous prime is 1146140564467. The next prime is 1146140564521. The reversal of 1146140564500 is 54650416411.

It can be written as a sum of positive squares in 4 ways, for example, as 7660100484 + 1138480464016 = 87522^2 + 1066996^2 .

It is a super-3 number, since 3×1146140564500³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1146140564500.

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, 1146140065 + ... + 1146141064.

It is an arithmetic number, because the mean of its divisors is an integer number (104298791415).

Almost surely, 2^{1146140564500} is an apocalyptic number.

1146140564500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146140564500 is an abundant number, since it is smaller than the sum of its proper divisors (1357030429460).

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

1146140564500 is a wasteful number, since it uses less digits than its factorization.

1146140564500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292281148 (or 2292281136 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 1146140564500 in words is "one trillion, one hundred forty-six billion, one hundred forty million, five hundred sixty-four thousand, five hundred".