13629095424 has 320 divisors, whose sum is σ = 46511308800. Its totient is φ = 3859881984.

The previous prime is 13629095399. The next prime is 13629095437. The reversal of 13629095424 is 42459092631.

13629095424 is a `hidden beast` number, since 13 + 6 + 2 + 90 + 9 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13629095424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12288982 + ... + 12290090.

It is an arithmetic number, because the mean of its divisors is an integer number (145347840).

Almost surely, 2^13629095424 is an apocalyptic number.

13629095424 is a gapful number since it is divisible by the number (14) 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 13629095424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23255654400).

13629095424 is an abundant number, since it is smaller than the sum of its proper divisors (32882213376).

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

13629095424 is a wasteful number, since it uses less digits than its factorization.

13629095424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13629095424 in words is "thirteen billion, six hundred twenty-nine million, ninety-five thousand, four hundred twenty-four".