274225450752 has 720 divisors, whose sum is σ = 927690559488. Its totient is φ = 79845212160.

The previous prime is 274225450729. The next prime is 274225450757. The reversal of 274225450752 is 257054522472.

274225450752 is a `hidden beast` number, since 2 + 7 + 42 + 2 + 54 + 507 + 52 = 666.

274225450752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 274225450698 and 274225450707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274225450757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 715993153 + ... + 715993535.

Almost surely, 2^274225450752 is an apocalyptic number.

274225450752 is a gapful number since it is divisible by the number (22) 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 274225450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463845279744).

274225450752 is an abundant number, since it is smaller than the sum of its proper divisors (653465108736).

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

274225450752 is a wasteful number, since it uses less digits than its factorization.

274225450752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 274225450752 in words is "two hundred seventy-four billion, two hundred twenty-five million, four hundred fifty thousand, seven hundred fifty-two".