1662164448 has 192 divisors, whose sum is σ = 5222633472. Its totient is φ = 452874240.

The previous prime is 1662164411. The next prime is 1662164459. The reversal of 1662164448 is 8444612661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

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, 1520190 + ... + 1521282.

It is an arithmetic number, because the mean of its divisors is an integer number (27201216).

Almost surely, 2^1662164448 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 1662164448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611316736).

1662164448 is an abundant number, since it is smaller than the sum of its proper divisors (3560469024).

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

1662164448 is a wasteful number, since it uses less digits than its factorization.

1662164448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1209 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 1662164448 is about 40769.6510654678. The cubic root of 1662164448 is about 1184.5625446476.

The spelling of 1662164448 in words is "one billion, six hundred sixty-two million, one hundred sixty-four thousand, four hundred forty-eight".