8013624148816 has 160 divisors (see below), whose sum is σ = 18349321568256. Its totient is φ = 3342381504000.

The previous prime is 8013624148811. The next prime is 8013624148837. The reversal of 8013624148816 is 6188414263108.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013624148811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702266151 + ... + 702277561.

Almost surely, 2^{8013624148816} 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 8013624148816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174660784128).

8013624148816 is an abundant number, since it is smaller than the sum of its proper divisors (10335697419440).

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

8013624148816 is a wasteful number, since it uses less digits than its factorization.

8013624148816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13241 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 8013624148816 in words is "eight trillion, thirteen billion, six hundred twenty-four million, one hundred forty-eight thousand, eight hundred sixteen".