1146041688575 has 72 divisors (see below), whose sum is σ = 1728990087552. Its totient is φ = 738031265280.

The previous prime is 1146041688559. The next prime is 1146041688629. The reversal of 1146041688575 is 5758861406411.

It is not a de Polignac number, because 1146041688575 - 2⁴ = 1146041688559 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1146041688575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23594264 + ... + 23642786.

It is an arithmetic number, because the mean of its divisors is an integer number (24013751216).

Almost surely, 2^{1146041688575} is an apocalyptic number.

1146041688575 is a deficient number, since it is larger than the sum of its proper divisors (582948398977).

1146041688575 is a wasteful number, since it uses less digits than its factorization.

1146041688575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49041 (or 49019 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 56.

The spelling of 1146041688575 in words is "one trillion, one hundred forty-six billion, forty-one million, six hundred eighty-eight thousand, five hundred seventy-five".