1896044145264 has 320 divisors, whose sum is σ = 5751908997120. Its totient is φ = 596814704640.

The previous prime is 1896044145251. The next prime is 1896044145341. The reversal of 1896044145264 is 4625414406981.

1896044145264 is a `hidden beast` number, since 1 + 8 + 9 + 60 + 44 + 14 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1896044145264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295284774 + ... + 295291194.

It is an arithmetic number, because the mean of its divisors is an integer number (17974715616).

Almost surely, 2^{1896044145264} 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 1896044145264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875954498560).

1896044145264 is an abundant number, since it is smaller than the sum of its proper divisors (3855864851856).

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

1896044145264 is a wasteful number, since it uses less digits than its factorization.

1896044145264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1896044145264 in words is "one trillion, eight hundred ninety-six billion, forty-four million, one hundred forty-five thousand, two hundred sixty-four".