1649614464 has 128 divisors (see below), whose sum is σ = 5080579200. Its totient is φ = 525938688.

The previous prime is 1649614457. The next prime is 1649614469. The reversal of 1649614464 is 4644169461.

1649614464 is a `hidden beast` number, since 16 + 496 + 144 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1649614469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69112 + ... + 89864.

It is an arithmetic number, because the mean of its divisors is an integer number (39692025).

Almost surely, 2^1649614464 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 1649614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540289600).

1649614464 is an abundant number, since it is smaller than the sum of its proper divisors (3430964736).

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

1649614464 is a wasteful number, since it uses less digits than its factorization.

1649614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20799 (or 20781 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1649614464 is about 40615.4461258275. The cubic root of 1649614464 is about 1181.5737080080.

The spelling of 1649614464 in words is "one billion, six hundred forty-nine million, six hundred fourteen thousand, four hundred sixty-four".