1649153376 has 216 divisors, whose sum is σ = 5246894016. Its totient is φ = 490613760.

The previous prime is 1649153369. The next prime is 1649153399. The reversal of 1649153376 is 6733519461.

It is a happy number.

1649153376 is a `hidden beast` number, since 1 + 6 + 49 + 1 + 533 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1508286 + ... + 1509378.

It is an arithmetic number, because the mean of its divisors is an integer number (24291176).

Almost surely, 2^1649153376 is an apocalyptic number.

1649153376 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 1649153376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623447008).

1649153376 is an abundant number, since it is smaller than the sum of its proper divisors (3597740640).

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

1649153376 is a wasteful number, since it uses less digits than its factorization.

1649153376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1142 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 1649153376 is about 40609.7694649945. The cubic root of 1649153376 is about 1181.4636095097.

The spelling of 1649153376 in words is "one billion, six hundred forty-nine million, one hundred fifty-three thousand, three hundred seventy-six".