18967454064 has 540 divisors, whose sum is σ = 64738642176. Its totient is φ = 5162766336.

The previous prime is 18967454053. The next prime is 18967454101. The reversal of 18967454064 is 46045476981.

18967454064 is a `hidden beast` number, since 1 + 8 + 96 + 7 + 4 + 540 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18967454064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 149349969 + ... + 149350095.

Almost surely, 2^18967454064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18967454064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32369321088).

18967454064 is an abundant number, since it is smaller than the sum of its proper divisors (45771188112).

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

18967454064 is a wasteful number, since it uses less digits than its factorization.

18967454064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 18967454064 in words is "eighteen billion, nine hundred sixty-seven million, four hundred fifty-four thousand, sixty-four".