274198431744 has 384 divisors, whose sum is σ = 851026176000. Its totient is φ = 88205967360.

The previous prime is 274198431739. The next prime is 274198431779. The reversal of 274198431744 is 447134891472.

274198431744 is a `hidden beast` number, since 274 + 19 + 8 + 4 + 317 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 129889249 + ... + 129891359.

It is an arithmetic number, because the mean of its divisors is an integer number (2216214000).

Almost surely, 2^274198431744 is an apocalyptic number.

274198431744 is a gapful number since it is divisible by the number (24) 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 274198431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425513088000).

274198431744 is an abundant number, since it is smaller than the sum of its proper divisors (576827744256).

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

274198431744 is an frugal number, since it uses more digits than its factorization.

274198431744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2145 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 274198431744 in words is "two hundred seventy-four billion, one hundred ninety-eight million, four hundred thirty-one thousand, seven hundred forty-four".