1045019664 has 160 divisors (see below), whose sum is σ = 3246042240. Its totient is φ = 319984128.

The previous prime is 1045019639. The next prime is 1045019681. The reversal of 1045019664 is 4669105401.

1045019664 is a `hidden beast` number, since 1 + 0 + 4 + 501 + 96 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1779979 + ... + 1780565.

It is an arithmetic number, because the mean of its divisors is an integer number (20287764).

Almost surely, 2^1045019664 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 1045019664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623021120).

1045019664 is an abundant number, since it is smaller than the sum of its proper divisors (2201022576).

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

1045019664 is a wasteful number, since it uses less digits than its factorization.

1045019664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1045019664 is about 32326.7638961898. The cubic root of 1045019664 is about 1014.7868267081.

The spelling of 1045019664 in words is "one billion, forty-five million, nineteen thousand, six hundred sixty-four".