13486741632 has 384 divisors, whose sum is σ = 48189173760. Its totient is φ = 3525451776.

The previous prime is 13486741613. The next prime is 13486741657. The reversal of 13486741632 is 23614768431.

13486741632 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 6 + 7 + 4 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 13313158 + ... + 13314170.

It is an arithmetic number, because the mean of its divisors is an integer number (125492640).

Almost surely, 2^13486741632 is an apocalyptic number.

13486741632 is a gapful number since it is divisible by the number (12) 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 13486741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24094586880).

13486741632 is an abundant number, since it is smaller than the sum of its proper divisors (34702432128).

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

13486741632 is a wasteful number, since it uses less digits than its factorization.

13486741632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1165 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 13486741632 in words is "thirteen billion, four hundred eighty-six million, seven hundred forty-one thousand, six hundred thirty-two".