13661062272 has 288 divisors, whose sum is σ = 46444741200. Its totient is φ = 3820677120.

The previous prime is 13661062211. The next prime is 13661062273. The reversal of 13661062272 is 27226016631.

13661062272 is a `hidden beast` number, since 1 + 36 + 610 + 6 + 2 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13661062273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2138379 + ... + 2144757.

Almost surely, 2^13661062272 is an apocalyptic number.

13661062272 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 13661062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23222370600).

13661062272 is an abundant number, since it is smaller than the sum of its proper divisors (32783678928).

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

13661062272 is a wasteful number, since it uses less digits than its factorization.

13661062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13661062272 in words is "thirteen billion, six hundred sixty-one million, sixty-two thousand, two hundred seventy-two".