1346146000264 has 128 divisors (see below), whose sum is σ = 2878869288960. Its totient is φ = 585399564288.

The previous prime is 1346146000259. The next prime is 1346146000271. The reversal of 1346146000264 is 4620006416431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150689142 + ... + 150698074.

It is an arithmetic number, because the mean of its divisors is an integer number (22491166320).

Almost surely, 2^{1346146000264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346146000264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439434644480).

1346146000264 is an abundant number, since it is smaller than the sum of its proper divisors (1532723288696).

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

1346146000264 is a wasteful number, since it uses less digits than its factorization.

1346146000264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9911 (or 9907 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 1346146000264 in words is "one trillion, three hundred forty-six billion, one hundred forty-six million, two hundred sixty-four", and thus it is an aban number.