13461610752 has 432 divisors, whose sum is σ = 44276964480. Its totient is φ = 4025843712.

The previous prime is 13461610693. The next prime is 13461610801. The reversal of 13461610752 is 25701616431.

13461610752 is a `hidden beast` number, since 1 + 34 + 6 + 1 + 610 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 45943918 + ... + 45944210.

Almost surely, 2^13461610752 is an apocalyptic number.

13461610752 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 13461610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138482240).

13461610752 is an abundant number, since it is smaller than the sum of its proper divisors (30815353728).

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

13461610752 is a wasteful number, since it uses less digits than its factorization.

13461610752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13461610752 in words is "thirteen billion, four hundred sixty-one million, six hundred ten thousand, seven hundred fifty-two".