274905664045056 has 2160 divisors, whose sum is σ = 968236526729472. Its totient is φ = 77694825922560.

The previous prime is 274905664045043. The next prime is 274905664045069. The reversal of 274905664045056 is 650540466509472.

It is a happy number.

274905664045056 is a `hidden beast` number, since 2 + 7 + 4 + 90 + 5 + 6 + 6 + 40 + 450 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (274905664045043) and next prime (274905664045069).

It is a junction number, because it is equal to n+sod(n) for n = 274905664044984 and 274905664045002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 476439625440 + ... + 476439626016.

Almost surely, 2^{274905664045056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274905664045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484118263364736).

274905664045056 is an abundant number, since it is smaller than the sum of its proper divisors (693330862684416).

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

274905664045056 is an equidigital number, since it uses as much as digits as its factorization.

274905664045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 274905664045056 in words is "two hundred seventy-four trillion, nine hundred five billion, six hundred sixty-four million, forty-five thousand, fifty-six".