274050783482112 has 2592 divisors, whose sum is σ = 1077254219059200. Its totient is φ = 68741711216640.

The previous prime is 274050783482083. The next prime is 274050783482123. The reversal of 274050783482112 is 211284387050472.

274050783482112 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 507 + 83 + 48 + 2 + 1 + 12 = 666.

274050783482112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 181370471437 + ... + 181370472947.

It is an arithmetic number, because the mean of its divisors is an integer number (415607337600).

Almost surely, 2^{274050783482112} 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 274050783482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538627109529600).

274050783482112 is an abundant number, since it is smaller than the sum of its proper divisors (803203435577088).

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

274050783482112 is a wasteful number, since it uses less digits than its factorization.

274050783482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 274050783482112 in words is "two hundred seventy-four trillion, fifty billion, seven hundred eighty-three million, four hundred eighty-two thousand, one hundred twelve".