74061268164 has 135 divisors (see below), whose sum is σ = 209829968733. Its totient is φ = 22768488288.

The previous prime is 74061268133. The next prime is 74061268187. The reversal of 74061268164 is 46186216047.

The square root of 74061268164 is 272142.

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., 10955808900 + 63105459264 = 104670^2 + 251208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63680647 + ... + 63681809.

Almost surely, 2^74061268164 is an apocalyptic number.

74061268164 is the 272142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74061268164

74061268164 is an abundant number, since it is smaller than the sum of its proper divisors (135768700569).

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

74061268164 is a wasteful number, since it uses less digits than its factorization.

74061268164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 74061 and 268164, that added together give a square (342225 = 585²).

The spelling of 74061268164 in words is "seventy-four billion, sixty-one million, two hundred sixty-eight thousand, one hundred sixty-four".