8149146088608 has 384 divisors, whose sum is σ = 29539048896000. Its totient is φ = 2132139884544.

The previous prime is 8149146088537. The next prime is 8149146088613. The reversal of 8149146088608 is 8068806419418.

8149146088608 is a `hidden beast` number, since 8 + 1 + 4 + 9 + 14 + 6 + 0 + 8 + 8 + 608 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 2733118 + ... + 4875266.

It is an arithmetic number, because the mean of its divisors is an integer number (76924606500).

Almost surely, 2^{8149146088608} 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 8149146088608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769524448000).

8149146088608 is an abundant number, since it is smaller than the sum of its proper divisors (21389902807392).

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

8149146088608 is a wasteful number, since it uses less digits than its factorization.

8149146088608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142229 (or 2142215 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 8149146088608 in words is "eight trillion, one hundred forty-nine billion, one hundred forty-six million, eighty-eight thousand, six hundred eight".