218377923272160 has 192 divisors, whose sum is σ = 735566037401664. Its totient is φ = 54265917440000.

The previous prime is 218377923272111. The next prime is 218377923272219. The reversal of 218377923272160 is 61272329773812.

It is a super-2 number, since 2×218377923272160² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 218377923272094 and 218377923272103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131660991 + ... + 133309310.

It is an arithmetic number, because the mean of its divisors is an integer number (3831073111467).

Almost surely, 2^{218377923272160} is an apocalyptic number.

218377923272160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218377923272160 is an abundant number, since it is smaller than the sum of its proper divisors (517188114129504).

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

218377923272160 is a wasteful number, since it uses less digits than its factorization.

218377923272160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264970437 (or 264970429 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 218377923272160 in words is "two hundred eighteen trillion, three hundred seventy-seven billion, nine hundred twenty-three million, two hundred seventy-two thousand, one hundred sixty".