218029138212456 has 128 divisors (see below), whose sum is σ = 605904369840000. Its totient is φ = 72644241761280.

The previous prime is 218029138212421. The next prime is 218029138212463. The reversal of 218029138212456 is 654212831920812.

218029138212456 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 2 + 91 + 382 + 124 + 56 = 666.

It is a super-2 number, since 2×218029138212456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5379563200 + ... + 5379603728.

It is an arithmetic number, because the mean of its divisors is an integer number (4733627889375).

Almost surely, 2^{218029138212456} is an apocalyptic number.

It is an amenable number.

218029138212456 is an abundant number, since it is smaller than the sum of its proper divisors (387875231627544).

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

218029138212456 is a wasteful number, since it uses less digits than its factorization.

218029138212456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50944 (or 50934 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 218029138212456 in words is "two hundred eighteen trillion, twenty-nine billion, one hundred thirty-eight million, two hundred twelve thousand, four hundred fifty-six".