5017581468 has 72 divisors (see below), whose sum is σ = 13371435168. Its totient is φ = 1583290368.

The previous prime is 5017581461. The next prime is 5017581469. The reversal of 5017581468 is 8641857105.

5017581468 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 581 + 4 + 68 = 666.

It is a super-2 number, since 2×5017581468² = 50352247576034070048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5017581461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49080 + ... + 111552.

Almost surely, 2^5017581468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5017581468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685717584).

5017581468 is an abundant number, since it is smaller than the sum of its proper divisors (8353853700).

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

5017581468 is a wasteful number, since it uses less digits than its factorization.

5017581468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62603 (or 62598 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 5017581468 is about 70834.8887766473. Note that the first 3 decimals coincide. The cubic root of 5017581468 is about 1711.9778612264.

The spelling of 5017581468 in words is "five billion, seventeen million, five hundred eighty-one thousand, four hundred sixty-eight".