1661822496 has 288 divisors, whose sum is σ = 5250510720. Its totient is φ = 496742400.

The previous prime is 1661822483. The next prime is 1661822501. The reversal of 1661822496 is 6942281661.

1661822496 is a `hidden beast` number, since 1 + 6 + 618 + 2 + 24 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 7875831 + ... + 7876041.

It is an arithmetic number, because the mean of its divisors is an integer number (18230940).

Almost surely, 2^1661822496 is an apocalyptic number.

1661822496 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 1661822496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625255360).

1661822496 is an abundant number, since it is smaller than the sum of its proper divisors (3588688224).

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

1661822496 is a wasteful number, since it uses less digits than its factorization.

1661822496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1661822496 is about 40765.4571420461. The cubic root of 1661822496 is about 1184.4813069353.

The spelling of 1661822496 in words is "one billion, six hundred sixty-one million, eight hundred twenty-two thousand, four hundred ninety-six".