274116648960 has 2240 divisors, whose sum is σ = 1301685707520. Its totient is φ = 53508833280.

The previous prime is 274116648919. The next prime is 274116648973. The reversal of 274116648960 is 69846611472.

274116648960 is a `hidden beast` number, since 2 + 7 + 41 + 1 + 66 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 274116648897 and 274116648906.

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 159 ways as a sum of consecutive naturals, for example, 7408558062 + ... + 7408558098.

Almost surely, 2^274116648960 is an apocalyptic number.

274116648960 is a gapful number since it is divisible by the number (20) 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 274116648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650842853760).

274116648960 is an abundant number, since it is smaller than the sum of its proper divisors (1027569058560).

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

274116648960 is a wasteful number, since it uses less digits than its factorization.

274116648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 274116648960 in words is "two hundred seventy-four billion, one hundred sixteen million, six hundred forty-eight thousand, nine hundred sixty".