274089428841312 has 504 divisors, whose sum is σ = 971499557028672. Its totient is φ = 75785085734400.

The previous prime is 274089428841257. The next prime is 274089428841367. The reversal of 274089428841312 is 213148824980472.

274089428841312 is a `hidden beast` number, since 2 + 7 + 40 + 8 + 94 + 2 + 88 + 413 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (274089428841257) and next prime (274089428841367).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 274089428841312.

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 31567762 + ... + 39302702.

It is an arithmetic number, because the mean of its divisors is an integer number (1927578486168).

Almost surely, 2^{274089428841312} 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 274089428841312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485749778514336).

274089428841312 is an abundant number, since it is smaller than the sum of its proper divisors (697410128187360).

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

274089428841312 is an equidigital number, since it uses as much as digits as its factorization.

274089428841312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7735014 (or 7734984 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 274089428841312 in words is "two hundred seventy-four trillion, eighty-nine billion, four hundred twenty-eight million, eight hundred forty-one thousand, three hundred twelve".