1649958912 has 336 divisors, whose sum is σ = 5724875520. Its totient is φ = 447676416.

The previous prime is 1649958901. The next prime is 1649958929. The reversal of 1649958912 is 2198599461.

1649958912 is a `hidden beast` number, since 1 + 6 + 49 + 9 + 589 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1649958912² = 5444728822576447488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11870139 + ... + 11870277.

It is an arithmetic number, because the mean of its divisors is an integer number (17038320).

Almost surely, 2^1649958912 is an apocalyptic number.

1649958912 is a gapful number since it is divisible by the number (12) 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 1649958912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862437760).

1649958912 is an abundant number, since it is smaller than the sum of its proper divisors (4074916608).

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

1649958912 is a wasteful number, since it uses less digits than its factorization.

1649958912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 1649958912 is about 40619.6862617131. The cubic root of 1649958912 is about 1181.6559418442.

The spelling of 1649958912 in words is "one billion, six hundred forty-nine million, nine hundred fifty-eight thousand, nine hundred twelve".