1611387648 has 288 divisors, whose sum is σ = 5219558400. Its totient is φ = 487378944.

The previous prime is 1611387643. The next prime is 1611387649. The reversal of 1611387648 is 8467831161.

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

It is not an unprimeable number, because it can be changed into a prime (1611387641) 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, 7098511 + ... + 7098737.

Almost surely, 2^1611387648 is an apocalyptic number.

1611387648 is a gapful number since it is divisible by the number (18) 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 1611387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609779200).

1611387648 is an abundant number, since it is smaller than the sum of its proper divisors (3608170752).

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

1611387648 is a wasteful number, since it uses less digits than its factorization.

1611387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1611387648 is about 40142.0932189641. The cubic root of 1611387648 is about 1172.3753452280.

The spelling of 1611387648 in words is "one billion, six hundred eleven million, three hundred eighty-seven thousand, six hundred forty-eight".