867618354454272 has 648 divisors, whose sum is σ = 2646529467079680. Its totient is φ = 283781088921600.

The previous prime is 867618354454261. The next prime is 867618354454337. The reversal of 867618354454272 is 272454453816768.

867618354454272 is a `hidden beast` number, since 8 + 6 + 7 + 6 + 1 + 8 + 3 + 5 + 4 + 4 + 542 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a self number, because there is not a number n which added to its sum of digits gives 867618354454272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55791796897 + ... + 55791812447.

It is an arithmetic number, because the mean of its divisors is an integer number (4084150412160).

Almost surely, 2^{867618354454272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867618354454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323264733539840).

867618354454272 is an abundant number, since it is smaller than the sum of its proper divisors (1778911112625408).

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

867618354454272 is an frugal number, since it uses more digits than its factorization.

867618354454272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16213 (or 16178 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 72.

The spelling of 867618354454272 in words is "eight hundred sixty-seven trillion, six hundred eighteen billion, three hundred fifty-four million, four hundred fifty-four thousand, two hundred seventy-two".