13421504736 has 192 divisors, whose sum is σ = 39778905600. Its totient is φ = 4402050048.

The previous prime is 13421504711. The next prime is 13421504773. The reversal of 13421504736 is 63740512431.

13421504736 is a `hidden beast` number, since 1 + 34 + 2 + 150 + 473 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13421504736.

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, 26682661 + ... + 26683163.

It is an arithmetic number, because the mean of its divisors is an integer number (207181800).

Almost surely, 2^13421504736 is an apocalyptic number.

13421504736 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 13421504736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889452800).

13421504736 is an abundant number, since it is smaller than the sum of its proper divisors (26357400864).

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

13421504736 is a wasteful number, since it uses less digits than its factorization.

13421504736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13421504736 in words is "thirteen billion, four hundred twenty-one million, five hundred four thousand, seven hundred thirty-six".