13232635416 has 512 divisors, whose sum is σ = 50400000000. Its totient is φ = 3170119680.

The previous prime is 13232635411. The next prime is 13232635421. The reversal of 13232635416 is 61453623231.

13232635416 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 635 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (13232635411) and next prime (13232635421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13232635411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10593960 + ... + 10595208.

It is an arithmetic number, because the mean of its divisors is an integer number (98437500).

Almost surely, 2^13232635416 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 13232635416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200000000).

13232635416 is an abundant number, since it is smaller than the sum of its proper divisors (37167364584).

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

13232635416 is a wasteful number, since it uses less digits than its factorization.

13232635416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1285 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 13232635416 in words is "thirteen billion, two hundred thirty-two million, six hundred thirty-five thousand, four hundred sixteen".