8190838643904 has 168 divisors, whose sum is σ = 26859842899968. Its totient is φ = 2337767308800.

The previous prime is 8190838643891. The next prime is 8190838643947. The reversal of 8190838643904 is 4093468380918.

8190838643904 is a `hidden beast` number, since 8 + 1 + 90 + 83 + 86 + 4 + 390 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×8190838643904² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2745729 + ... + 4890879.

Almost surely, 2^{8190838643904} is an apocalyptic number.

8190838643904 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 8190838643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429921449984).

8190838643904 is an abundant number, since it is smaller than the sum of its proper divisors (18669004256064).

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

8190838643904 is a wasteful number, since it uses less digits than its factorization.

8190838643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146123 (or 2146110 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 8190838643904 in words is "eight trillion, one hundred ninety billion, eight hundred thirty-eight million, six hundred forty-three thousand, nine hundred four".