13621140468 has 336 divisors, whose sum is σ = 40555931136. Its totient is φ = 3972291840.

The previous prime is 13621140439. The next prime is 13621140473. The reversal of 13621140468 is 86404112631.

13621140468 is a `hidden beast` number, since 1 + 36 + 21 + 140 + 468 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 78734830 + ... + 78735002.

It is an arithmetic number, because the mean of its divisors is an integer number (120702176).

Almost surely, 2^13621140468 is an apocalyptic number.

13621140468 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 13621140468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20277965568).

13621140468 is an abundant number, since it is smaller than the sum of its proper divisors (26934790668).

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

13621140468 is a wasteful number, since it uses less digits than its factorization.

13621140468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

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

The spelling of 13621140468 in words is "thirteen billion, six hundred twenty-one million, one hundred forty thousand, four hundred sixty-eight".