1649149488 has 240 divisors, whose sum is σ = 5441467200. Its totient is φ = 466034688.

The previous prime is 1649149451. The next prime is 1649149499. The reversal of 1649149488 is 8849419461.

It is a happy number.

1649149488 is a `hidden beast` number, since 1 + 64 + 91 + 494 + 8 + 8 = 666.

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, 8544720 + ... + 8544912.

It is an arithmetic number, because the mean of its divisors is an integer number (22672780).

Almost surely, 2^1649149488 is an apocalyptic number.

1649149488 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 1649149488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720733600).

1649149488 is an abundant number, since it is smaller than the sum of its proper divisors (3792317712).

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

1649149488 is a wasteful number, since it uses less digits than its factorization.

1649149488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1649149488 is about 40609.7215947118. The cubic root of 1649149488 is about 1181.4626810466.

The spelling of 1649149488 in words is "one billion, six hundred forty-nine million, one hundred forty-nine thousand, four hundred eighty-eight".