4519613952 has 240 divisors, whose sum is σ = 15158306592. Its totient is φ = 1269596160.

The previous prime is 4519613951. The next prime is 4519614017. The reversal of 4519613952 is 2593169154.

It is a super-2 number, since 2×4519613952² = 40853820550226116608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4519613898 and 4519613907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4519613951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1966468 + ... + 1968764.

Almost surely, 2^4519613952 is an apocalyptic number.

4519613952 is a gapful number since it is divisible by the number (42) 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 4519613952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579153296).

4519613952 is an abundant number, since it is smaller than the sum of its proper divisors (10638692640).

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

4519613952 is a wasteful number, since it uses less digits than its factorization.

4519613952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2370 counting only the distinct ones).

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

The square root of 4519613952 is about 67228.0741357359. The cubic root of 4519613952 is about 1653.3588087183.

The spelling of 4519613952 in words is "four billion, five hundred nineteen million, six hundred thirteen thousand, nine hundred fifty-two".