1649953152 has 160 divisors (see below), whose sum is σ = 4938527880. Its totient is φ = 546822144.

The previous prime is 1649953117. The next prime is 1649953159. The reversal of 1649953152 is 2513599461.

1649953152 is a `hidden beast` number, since 1 + 6 + 499 + 5 + 3 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1649953098 and 1649953107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649953159) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2415403 + ... + 2416085.

Almost surely, 2^1649953152 is an apocalyptic number.

1649953152 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 1649953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469263940).

1649953152 is an abundant number, since it is smaller than the sum of its proper divisors (3288574728).

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

1649953152 is an equidigital number, since it uses as much as digits as its factorization.

1649953152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 921 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 1649953152 is about 40619.6153600696. The cubic root of 1649953152 is about 1181.6545667905.

The spelling of 1649953152 in words is "one billion, six hundred forty-nine million, nine hundred fifty-three thousand, one hundred fifty-two".