274625000000 has 280 divisors, whose sum is σ = 737939377560. Its totient is φ = 101400000000.

The previous prime is 274624999951. The next prime is 274625000009. The reversal of 274625000000 is 526472.

The cubic root of 274625000000 is 6500.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 20 ways, for example, as 242978013184 + 31646986816 = 492928^2 + 177896^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274625000009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21124999994 + ... + 21125000006.

It is an arithmetic number, because the mean of its divisors is an integer number (2635497777).

Almost surely, 2^274625000000 is an apocalyptic number.

274625000000 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 274625000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368969688780).

274625000000 is an abundant number, since it is smaller than the sum of its proper divisors (463314377560).

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

274625000000 is an frugal number, since it uses more digits than its factorization.

274625000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

Adding to 274625000000 its reverse (526472), we get a palindrome (274625526472).

The spelling of 274625000000 in words is "two hundred seventy-four billion, six hundred twenty-five million", and thus it is an aban number.