4631619136 has 63 divisors (see below), whose sum is σ = 9442748577. Its totient is φ = 2254014720.

The previous prime is 4631619131. The next prime is 4631619137. The reversal of 4631619136 is 6319161364.

It is a happy number.

The square root of 4631619136 is 68056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51036736 + 4580582400 = 7144^2 + 67680^2 .

It is a super-2 number, since 2×4631619136² = 42903791641922772992, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4631619131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25588966 + ... + 25589146.

Almost surely, 2^4631619136 is an apocalyptic number.

4631619136 is the 68056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4631619136

4631619136 is an abundant number, since it is smaller than the sum of its proper divisors (4811129441).

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

4631619136 is an frugal number, since it uses more digits than its factorization.

4631619136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 230 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The cubic root of 4631619136 is about 1666.9053732410.

The spelling of 4631619136 in words is "four billion, six hundred thirty-one million, six hundred nineteen thousand, one hundred thirty-six".