1146138564000 has 96 divisors (see below), whose sum is σ = 3754749974976. Its totient is φ = 305636947200.

The previous prime is 1146138563953. The next prime is 1146138564013. The reversal of 1146138564000 is 4658316411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1146138564000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47743774 + ... + 47767773.

It is an arithmetic number, because the mean of its divisors is an integer number (39111978906).

Almost surely, 2^{1146138564000} is an apocalyptic number.

1146138564000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146138564000 is an abundant number, since it is smaller than the sum of its proper divisors (2608611410976).

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

1146138564000 is an equidigital number, since it uses as much as digits as its factorization.

1146138564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95511575 (or 95511557 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 1146138564000 in words is "one trillion, one hundred forty-six billion, one hundred thirty-eight million, five hundred sixty-four thousand".