13146471936 has 320 divisors, whose sum is σ = 42237296640. Its totient is φ = 4013383680.

The previous prime is 13146471931. The next prime is 13146471953. The reversal of 13146471936 is 63917464131.

13146471936 is a `hidden beast` number, since 1 + 3 + 146 + 471 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13146471891 and 13146471900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13146471931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34324801 + ... + 34325183.

It is an arithmetic number, because the mean of its divisors is an integer number (131991552).

Almost surely, 2^13146471936 is an apocalyptic number.

13146471936 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 13146471936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118648320).

13146471936 is an abundant number, since it is smaller than the sum of its proper divisors (29090824704).

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

13146471936 is a wasteful number, since it uses less digits than its factorization.

13146471936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 592 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 13146471936 in words is "thirteen billion, one hundred forty-six million, four hundred seventy-one thousand, nine hundred thirty-six".