274937979456 has 224 divisors, whose sum is σ = 932212512000. Its totient is φ = 77832658944.

The previous prime is 274937979431. The next prime is 274937979469. The reversal of 274937979456 is 654979739472.

It is a happy number.

274937979456 is a `hidden beast` number, since 2 + 7 + 493 + 7 + 97 + 9 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1214200 + ... + 1422728.

It is an arithmetic number, because the mean of its divisors is an integer number (4161663000).

Almost surely, 2^274937979456 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 274937979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466106256000).

274937979456 is an abundant number, since it is smaller than the sum of its proper divisors (657274532544).

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

274937979456 is a wasteful number, since it uses less digits than its factorization.

274937979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208666 (or 208650 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 72.

The spelling of 274937979456 in words is "two hundred seventy-four billion, nine hundred thirty-seven million, nine hundred seventy-nine thousand, four hundred fifty-six".