13861632960 has 168 divisors, whose sum is σ = 54489498336. Its totient is φ = 3168368640.

The previous prime is 13861632931. The next prime is 13861632977. The reversal of 13861632960 is 6923616831.

13861632960 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 1 + 632 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323631 + ... + 363950.

It is an arithmetic number, because the mean of its divisors is an integer number (324342252).

Almost surely, 2^13861632960 is an apocalyptic number.

13861632960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13861632960 is an abundant number, since it is smaller than the sum of its proper divisors (40627865376).

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

13861632960 is a wasteful number, since it uses less digits than its factorization.

13861632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687611 (or 687598 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13861632960 in words is "thirteen billion, eight hundred sixty-one million, six hundred thirty-two thousand, nine hundred sixty".