274169161728 has 1152 divisors, whose sum is σ = 1062669404160. Its totient is φ = 65983610880.

The previous prime is 274169161687. The next prime is 274169161769. The reversal of 274169161728 is 827161961472.

274169161728 is a `hidden beast` number, since 2 + 7 + 4 + 16 + 9 + 1 + 617 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (274169161687) and next prime (274169161769).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1207793551 + ... + 1207793777.

It is an arithmetic number, because the mean of its divisors is an integer number (922456080).

Almost surely, 2^274169161728 is an apocalyptic number.

274169161728 is a gapful number since it is divisible by the number (28) 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 274169161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531334702080).

274169161728 is an abundant number, since it is smaller than the sum of its proper divisors (788500242432).

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

274169161728 is a wasteful number, since it uses less digits than its factorization.

274169161728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 310 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 274169161728 in words is "two hundred seventy-four billion, one hundred sixty-nine million, one hundred sixty-one thousand, seven hundred twenty-eight".