218148880 has 40 divisors (see below), whose sum is σ = 533894400. Its totient is φ = 82666368.

The previous prime is 218148839. The next prime is 218148881. The reversal of 218148880 is 88841812.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (218148881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70240 + ... + 73279.

It is an arithmetic number, because the mean of its divisors is an integer number (13347360).

Almost surely, 2^218148880 is an apocalyptic number.

218148880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218148880 is an abundant number, since it is smaller than the sum of its proper divisors (315745520).

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

218148880 is a wasteful number, since it uses less digits than its factorization.

218148880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143551 (or 143545 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 218148880 is about 14769.8639127109. The cubic root of 218148880 is about 601.9831417302.

The spelling of 218148880 in words is "two hundred eighteen million, one hundred forty-eight thousand, eight hundred eighty".