218149517520 has 1120 divisors, whose sum is σ = 892650616704. Its totient is φ = 48970137600.

The previous prime is 218149517501. The next prime is 218149517527. The reversal of 218149517520 is 25715941812.

218149517520 is a `hidden beast` number, since 2 + 1 + 81 + 4 + 9 + 517 + 52 + 0 = 666.

218149517520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218149517527) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 905184600 + ... + 905184840.

Almost surely, 2^218149517520 is an apocalyptic number.

218149517520 is a gapful number since it is divisible by the number (20) 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 218149517520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446325308352).

218149517520 is an abundant number, since it is smaller than the sum of its proper divisors (674501099184).

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

218149517520 is a wasteful number, since it uses less digits than its factorization.

218149517520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 218149517520 in words is "two hundred eighteen billion, one hundred forty-nine million, five hundred seventeen thousand, five hundred twenty".