14661561600 has 1728 divisors, whose sum is σ = 70075514880. Its totient is φ = 2919628800.

The previous prime is 14661561589. The next prime is 14661561619. The reversal of 14661561600 is 616516641.

It is a happy number.

14661561600 is a `hidden beast` number, since 1 + 46 + 6 + 1 + 5 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×14661561600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472953585 + ... + 472953615.

It is an arithmetic number, because the mean of its divisors is an integer number (40552960).

Almost surely, 2^14661561600 is an apocalyptic number.

14661561600 is a gapful number since it is divisible by the number (10) 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 14661561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35037757440).

14661561600 is an abundant number, since it is smaller than the sum of its proper divisors (55413953280).

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

14661561600 is a wasteful number, since it uses less digits than its factorization.

14661561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14661561600 in words is "fourteen billion, six hundred sixty-one million, five hundred sixty-one thousand, six hundred".