1893164163072 has 1344 divisors, whose sum is σ = 6747250212864. Its totient is φ = 467211386880.

The previous prime is 1893164163067. The next prime is 1893164163091. The reversal of 1893164163072 is 2703614613981.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22809206743 + ... + 22809206825.

It is an arithmetic number, because the mean of its divisors is an integer number (5020275456).

Almost surely, 2^{1893164163072} is an apocalyptic number.

1893164163072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1893164163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373625106432).

1893164163072 is an abundant number, since it is smaller than the sum of its proper divisors (4854086049792).

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

1893164163072 is a wasteful number, since it uses less digits than its factorization.

1893164163072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 1893164163072 in words is "one trillion, eight hundred ninety-three billion, one hundred sixty-four million, one hundred sixty-three thousand, seventy-two".