1674881165584 has 135 divisors (see below), whose sum is σ = 3629207573271. Its totient is φ = 748238483520.

The previous prime is 1674881165561. The next prime is 1674881165593. The reversal of 1674881165584 is 4855611884761.

The square root of 1674881165584 is 1294172.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1674881165584² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3815218837 + ... + 3815219275.

Almost surely, 2^{1674881165584} is an apocalyptic number.

1674881165584 is the 1294172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1674881165584

1674881165584 is an abundant number, since it is smaller than the sum of its proper divisors (1954326407687).

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

1674881165584 is an frugal number, since it uses more digits than its factorization.

1674881165584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 519 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 64.

Multiplying 1674881165584 by its sum of digits (64), we get a square (107192394597376 = 10353376²).

The spelling of 1674881165584 in words is "one trillion, six hundred seventy-four billion, eight hundred eighty-one million, one hundred sixty-five thousand, five hundred eighty-four".