8146001001600 has 2880 divisors, whose sum is σ = 38469865896000. Its totient is φ = 1678421606400.

The previous prime is 8146001001503. The next prime is 8146001001617. The reversal of 8146001001600 is 61001006418.

8146001001600 is a `hidden beast` number, since 8 + 1 + 46 + 0 + 0 + 10 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 27802051054 + ... + 27802051346.

It is an arithmetic number, because the mean of its divisors is an integer number (13357592325).

Almost surely, 2^{8146001001600} is an apocalyptic number.

8146001001600 is a gapful number since it is divisible by the number (80) 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 8146001001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234932948000).

8146001001600 is an abundant number, since it is smaller than the sum of its proper divisors (30323864894400).

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

8146001001600 is a wasteful number, since it uses less digits than its factorization.

8146001001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 8146001001600 in words is "eight trillion, one hundred forty-six billion, one million, one thousand, six hundred".