1791649216 has 224 divisors, whose sum is σ = 4494458880. Its totient is φ = 691891200.

The previous prime is 1791649207. The next prime is 1791649217. The reversal of 1791649216 is 6129461971.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1791649217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22679065 + ... + 22679143.

Almost surely, 2^1791649216 is an apocalyptic number.

1791649216 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 1791649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247229440).

1791649216 is an abundant number, since it is smaller than the sum of its proper divisors (2702809664).

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

1791649216 is a wasteful number, since it uses less digits than its factorization.

1791649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its digits is 163296, while the sum is 46.

The square root of 1791649216 is about 42327.8775277003. The cubic root of 1791649216 is about 1214.5563286061.

The spelling of 1791649216 in words is "one billion, seven hundred ninety-one million, six hundred forty-nine thousand, two hundred sixteen".