8148013632 has 168 divisors, whose sum is σ = 25643384832. Its totient is φ = 2453068800.

The previous prime is 8148013631. The next prime is 8148013661. The reversal of 8148013632 is 2363108418.

8148013632 is a `hidden beast` number, since 8 + 1 + 4 + 8 + 0 + 13 + 632 = 666.

It is a super-2 number, since 2×8148013632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8148013631) 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, 990657 + ... + 998847.

Almost surely, 2^8148013632 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 8148013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821692416).

8148013632 is an abundant number, since it is smaller than the sum of its proper divisors (17495371200).

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

8148013632 is a wasteful number, since it uses less digits than its factorization.

8148013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8148013632 is about 90266.3482810732. The cubic root of 8148013632 is about 2012.2591721493.

The spelling of 8148013632 in words is "eight billion, one hundred forty-eight million, thirteen thousand, six hundred thirty-two".