1774649856 has 480 divisors, whose sum is σ = 6213620160. Its totient is φ = 445906944.

The previous prime is 1774649843. The next prime is 1774649879. The reversal of 1774649856 is 6589464771.

It is a super-2 number, since 2×1774649856² = 6298764222801641472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (10160640) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1774649796 and 1774649805.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24310236 + ... + 24310308.

It is an arithmetic number, because the mean of its divisors is an integer number (12945042).

Almost surely, 2^1774649856 is an apocalyptic number.

1774649856 is a gapful number since it is divisible by the number (16) 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 1774649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106810080).

1774649856 is an abundant number, since it is smaller than the sum of its proper divisors (4438970304).

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

1774649856 is a wasteful number, since it uses less digits than its factorization.

1774649856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 1774649856 is about 42126.5932161622. The cubic root of 1774649856 is about 1210.7028350786.

The spelling of 1774649856 in words is "one billion, seven hundred seventy-four million, six hundred forty-nine thousand, eight hundred fifty-six".