274993145856 has 768 divisors, whose sum is σ = 970849152000. Its totient is φ = 75813027840.

The previous prime is 274993145849. The next prime is 274993145857. The reversal of 274993145856 is 658541399472.

274993145856 is a `hidden beast` number, since 2 + 7 + 49 + 9 + 3 + 1 + 4 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 274993145793 and 274993145802.

It is not an unprimeable number, because it can be changed into a prime (274993145857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656308015 + ... + 656308433.

It is an arithmetic number, because the mean of its divisors is an integer number (1264126500).

Almost surely, 2^274993145856 is an apocalyptic number.

274993145856 is a gapful number since it is divisible by the number (26) 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 274993145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485424576000).

274993145856 is an abundant number, since it is smaller than the sum of its proper divisors (695856006144).

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

274993145856 is a wasteful number, since it uses less digits than its factorization.

274993145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 531 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 274993145856 in words is "two hundred seventy-four billion, nine hundred ninety-three million, one hundred forty-five thousand, eight hundred fifty-six".