14555661120 has 2016 divisors, whose sum is σ = 74370127104. Its totient is φ = 2627665920.

The previous prime is 14555661089. The next prime is 14555661161. The reversal of 14555661120 is 2116655541.

14555661120 is a `hidden beast` number, since 1 + 45 + 556 + 61 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 856215352 + ... + 856215368.

It is an arithmetic number, because the mean of its divisors is an integer number (36889944).

Almost surely, 2^14555661120 is an apocalyptic number.

14555661120 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 14555661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185063552).

14555661120 is an abundant number, since it is smaller than the sum of its proper divisors (59814465984).

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

14555661120 is a wasteful number, since it uses less digits than its factorization.

14555661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 14555661120 in words is "fourteen billion, five hundred fifty-five million, six hundred sixty-one thousand, one hundred twenty".