418172139087768 has 96 divisors (see below), whose sum is σ = 1219738051022400. Its totient is φ = 128661038452224.

The previous prime is 418172139087761. The next prime is 418172139087799. The reversal of 418172139087768 is 867780931271814.

418172139087768 is a `hidden beast` number, since 4 + 1 + 8 + 172 + 1 + 390 + 8 + 7 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 418172139087696 and 418172139087705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418172139087761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3796321 + ... + 29167727.

It is an arithmetic number, because the mean of its divisors is an integer number (12705604698150).

Almost surely, 2^{418172139087768} is an apocalyptic number.

It is an amenable number.

418172139087768 is an abundant number, since it is smaller than the sum of its proper divisors (801565911934632).

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

418172139087768 is a wasteful number, since it uses less digits than its factorization.

418172139087768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25389041 (or 25389034 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 418172139087768 in words is "four hundred eighteen trillion, one hundred seventy-two billion, one hundred thirty-nine million, eighty-seven thousand, seven hundred sixty-eight".