218840935493763 has 48 divisors (see below), whose sum is σ = 346542551237376. Its totient is φ = 131977629769920.

The previous prime is 218840935493759. The next prime is 218840935493773. The reversal of 218840935493763 is 367394539048812.

It is a happy number.

218840935493763 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 4 + 0 + 9 + 3 + 549 + 3 + 76 + 3 = 666.

It is not a de Polignac number, because 218840935493763 - 2² = 218840935493759 is a prime.

It is a super-2 number, since 2×218840935493763² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218840935493691 and 218840935493700.

It is not an unprimeable number, because it can be changed into a prime (218840935493773) 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 47 ways as a sum of consecutive naturals, for example, 11475706 + ... + 23861552.

It is an arithmetic number, because the mean of its divisors is an integer number (7219636484112).

It is a 2-persistent number, because it is pandigital, and so is 2⋅218840935493763 = 437681870987526, but 3⋅218840935493763 = 656522806481289 is not.

Almost surely, 2^{218840935493763} is an apocalyptic number.

218840935493763 is a deficient number, since it is larger than the sum of its proper divisors (127701615743613).

218840935493763 is a wasteful number, since it uses less digits than its factorization.

218840935493763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12386744 (or 12386741 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 218840935493763 in words is "two hundred eighteen trillion, eight hundred forty billion, nine hundred thirty-five million, four hundred ninety-three thousand, seven hundred sixty-three".