867284459483904 has 3024 divisors, whose sum is σ = 3367548281504064. Its totient is φ = 217949122068480.

The previous prime is 867284459483861. The next prime is 867284459483917. The reversal of 867284459483904 is 409384954482768.

867284459483904 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 8 + 4 + 45 + 9 + 483 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1503092650464 + ... + 1503092651040.

Almost surely, 2^{867284459483904} is an apocalyptic number.

867284459483904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867284459483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683774140752032).

867284459483904 is an abundant number, since it is smaller than the sum of its proper divisors (2500263822020160).

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

867284459483904 is a wasteful number, since it uses less digits than its factorization.

867284459483904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 13377208320, while the sum is 81.

The spelling of 867284459483904 in words is "eight hundred sixty-seven trillion, two hundred eighty-four billion, four hundred fifty-nine million, four hundred eighty-three thousand, nine hundred four".