248129724689 has 16 divisors (see below), whose sum is σ = 313272453120. Its totient is φ = 190900391760.

The previous prime is 248129724683. The next prime is 248129724691. The reversal of 248129724689 is 986427921842.

It is a cyclic number.

It is not a de Polignac number, because 248129724689 - 2¹² = 248129720593 is a prime.

It is a super-2 number, since 2×248129724689² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (248129724683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20389259 + ... + 20401424.

It is an arithmetic number, because the mean of its divisors is an integer number (19579528320).

Almost surely, 2^248129724689 is an apocalyptic number.

It is an amenable number.

248129724689 is a deficient number, since it is larger than the sum of its proper divisors (65142728431).

248129724689 is a wasteful number, since it uses less digits than its factorization.

248129724689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40790780.

The product of its digits is 27869184, while the sum is 62.

The spelling of 248129724689 in words is "two hundred forty-eight billion, one hundred twenty-nine million, seven hundred twenty-four thousand, six hundred eighty-nine".