13629822948 has 216 divisors, whose sum is σ = 41565049344. Its totient is φ = 3750969600.

The previous prime is 13629822929. The next prime is 13629822953. The reversal of 13629822948 is 84922892631.

13629822948 is a `hidden beast` number, since 1 + 3 + 629 + 8 + 2 + 2 + 9 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13629822894 and 13629822903.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15365761 + ... + 15366647.

It is an arithmetic number, because the mean of its divisors is an integer number (192430784).

Almost surely, 2^13629822948 is an apocalyptic number.

13629822948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13629822948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20782524672).

13629822948 is an abundant number, since it is smaller than the sum of its proper divisors (27935226396).

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

13629822948 is a wasteful number, since it uses less digits than its factorization.

13629822948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1211 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 13629822948 in words is "thirteen billion, six hundred twenty-nine million, eight hundred twenty-two thousand, nine hundred forty-eight".