1822948416 has 105 divisors (see below), whose sum is σ = 5412918181. Its totient is φ = 606624768.

The previous prime is 1822948411. The next prime is 1822948417. The reversal of 1822948416 is 6148492281.

The square root of 1822948416 is 42696.

It is a perfect power (a square), and thus also a powerful number.

1822948416 is a `hidden beast` number, since 1 + 8 + 229 + 4 + 8 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1120910400 + 702038016 = 33480^2 + 26496^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1822948411) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3073816 + ... + 3074408.

Almost surely, 2^1822948416 is an apocalyptic number.

1822948416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1822948416 is the 42696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1822948416

1822948416 is an abundant number, since it is smaller than the sum of its proper divisors (3589969765).

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

1822948416 is an frugal number, since it uses more digits than its factorization.

1822948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 598 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The cubic root of 1822948416 is about 1221.5880993587.

The spelling of 1822948416 in words is "one billion, eight hundred twenty-two million, nine hundred forty-eight thousand, four hundred sixteen".