18146868480 has 576 divisors, whose sum is σ = 70051968000. Its totient is φ = 4448231424.

The previous prime is 18146868451. The next prime is 18146868499. The reversal of 18146868480 is 8486864181.

It is a happy number.

18146868480 is a `hidden beast` number, since 1 + 81 + 4 + 6 + 86 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75928201 + ... + 75928439.

It is an arithmetic number, because the mean of its divisors is an integer number (121618000).

Almost surely, 2^18146868480 is an apocalyptic number.

18146868480 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 18146868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35025984000).

18146868480 is an abundant number, since it is smaller than the sum of its proper divisors (51905099520).

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

18146868480 is an equidigital number, since it uses as much as digits as its factorization.

18146868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 18146868480 in words is "eighteen billion, one hundred forty-six million, eight hundred sixty-eight thousand, four hundred eighty".