413158633848 has 256 divisors, whose sum is σ = 1178997120000. Its totient is φ = 134021099520.

The previous prime is 413158633841. The next prime is 413158633957. The reversal of 413158633848 is 848336851314.

413158633848 is a `hidden beast` number, since 4 + 13 + 1 + 586 + 3 + 3 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 413158633794 and 413158633803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413158633841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 726113308 + ... + 726113876.

It is an arithmetic number, because the mean of its divisors is an integer number (4605457500).

Almost surely, 2^413158633848 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 413158633848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589498560000).

413158633848 is an abundant number, since it is smaller than the sum of its proper divisors (765838486152).

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

413158633848 is a wasteful number, since it uses less digits than its factorization.

413158633848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1177 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 413158633848 in words is "four hundred thirteen billion, one hundred fifty-eight million, six hundred thirty-three thousand, eight hundred forty-eight".