1649014752 has 192 divisors, whose sum is σ = 5529420288. Its totient is φ = 417792000.

The previous prime is 1649014751. The next prime is 1649014753. The reversal of 1649014752 is 2574109461.

1649014752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1649014751) and next prime (1649014753).

It is a self number, because there is not a number n which added to its sum of digits gives 1649014752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649014751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300352 + ... + 305792.

It is an arithmetic number, because the mean of its divisors is an integer number (28799064).

Almost surely, 2^1649014752 is an apocalyptic number.

1649014752 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 1649014752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764710144).

1649014752 is an abundant number, since it is smaller than the sum of its proper divisors (3880405536).

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

1649014752 is a wasteful number, since it uses less digits than its factorization.

1649014752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1649014752 is about 40608.0626477058. The cubic root of 1649014752 is about 1181.4305048870.

It can be divided in two parts, 164901 and 4752, that added together give a triangular number (169653 = T₅₈₂).

The spelling of 1649014752 in words is "one billion, six hundred forty-nine million, fourteen thousand, seven hundred fifty-two".