274290048000 has 264 divisors, whose sum is σ = 988428339600. Its totient is φ = 73143705600.

The previous prime is 274290047987. The next prime is 274290048001. The reversal of 274290048000 is 840092472.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274290048001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1032951 + ... + 1271049.

Almost surely, 2^274290048000 is an apocalyptic number.

274290048000 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 274290048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494214169800).

274290048000 is an abundant number, since it is smaller than the sum of its proper divisors (714138291600).

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

274290048000 is a wasteful number, since it uses less digits than its factorization.

274290048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238140 (or 238109 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 274290048000 in words is "two hundred seventy-four billion, two hundred ninety million, forty-eight thousand".