1633225344 has 64 divisors (see below), whose sum is σ = 4349280000. Its totient is φ = 543025152.

The previous prime is 1633225337. The next prime is 1633225367. The reversal of 1633225344 is 4435223361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151857 + ... + 162255.

It is an arithmetic number, because the mean of its divisors is an integer number (67957500).

Almost surely, 2^1633225344 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 1633225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174640000).

1633225344 is an abundant number, since it is smaller than the sum of its proper divisors (2716054656).

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

1633225344 is a wasteful number, since it uses less digits than its factorization.

1633225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10825 (or 10813 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 1633225344 is about 40413.1827996757. The cubic root of 1633225344 is about 1177.6476511220.

The spelling of 1633225344 in words is "one billion, six hundred thirty-three million, two hundred twenty-five thousand, three hundred forty-four".