218376634000 has 120 divisors (see below), whose sum is σ = 614244723768. Its totient is φ = 74871955200.

The previous prime is 218376633983. The next prime is 218376634031. The reversal of 218376634000 is 436673812.

It can be written as a sum of positive squares in 4 ways, for example, as 13359661056 + 205016972944 = 115584^2 + 452788^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016167 + ... + 1212166.

Almost surely, 2^218376634000 is an apocalyptic number.

218376634000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218376634000 is an abundant number, since it is smaller than the sum of its proper divisors (395868089768).

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

218376634000 is a wasteful number, since it uses less digits than its factorization.

218376634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228370 (or 2228347 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 218376634000 in words is "two hundred eighteen billion, three hundred seventy-six million, six hundred thirty-four thousand".