2074164518416 has 15 divisors (see below), whose sum is σ = 4018704915981. Its totient is φ = 1037079378816.

The previous prime is 2074164518351. The next prime is 2074164518417. The reversal of 2074164518416 is 6148154614702.

The square root of 2074164518416 is 1440196.

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

It can be written as a sum of positive squares in only one way, i.e., 2073035558416 + 1128960000 = 1439804^2 + 33600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2074164518416.

It is not an unprimeable number, because it can be changed into a prime (2074164518417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5580760 + ... + 5940808.

Almost surely, 2^{2074164518416} is an apocalyptic number.

2074164518416 is the 1440196-th square number.

It is an amenable number.

2074164518416 is a deficient number, since it is larger than the sum of its proper divisors (1944540397565).

2074164518416 is an frugal number, since it uses more digits than its factorization.

2074164518416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720106 (or 360051 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 2074164518416 by its sum of digits (49), we get a square (101634061402384 = 10081372²).

The spelling of 2074164518416 in words is "two trillion, seventy-four billion, one hundred sixty-four million, five hundred eighteen thousand, four hundred sixteen".