1045146643164 has 384 divisors, whose sum is σ = 3124146421760. Its totient is φ = 299811456000.

The previous prime is 1045146643111. The next prime is 1045146643169. The reversal of 1045146643164 is 4613466415401.

1045146643164 is a `hidden beast` number, since 10 + 4 + 5 + 146 + 6 + 431 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045146643169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165866814 + ... + 165873114.

Almost surely, 2^{1045146643164} 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 1045146643164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562073210880).

1045146643164 is an abundant number, since it is smaller than the sum of its proper divisors (2078999778596).

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

1045146643164 is a wasteful number, since it uses less digits than its factorization.

1045146643164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6498 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1045146643164 in words is "one trillion, forty-five billion, one hundred forty-six million, six hundred forty-three thousand, one hundred sixty-four".