13621332816 has 240 divisors, whose sum is σ = 48981240000. Its totient is φ = 3592366848.

The previous prime is 13621332793. The next prime is 13621332839. The reversal of 13621332816 is 61823312631.

13621332816 is a `hidden beast` number, since 1 + 3 + 621 + 3 + 3 + 28 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13621332793) and next prime (13621332839).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250435 + ... + 299933.

It is an arithmetic number, because the mean of its divisors is an integer number (204088500).

Almost surely, 2^13621332816 is an apocalyptic number.

13621332816 is a gapful number since it is divisible by the number (16) 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 13621332816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24490620000).

13621332816 is an abundant number, since it is smaller than the sum of its proper divisors (35359907184).

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

13621332816 is a wasteful number, since it uses less digits than its factorization.

13621332816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49543 (or 49524 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 13621332816 in words is "thirteen billion, six hundred twenty-one million, three hundred thirty-two thousand, eight hundred sixteen".