83146104000 has 1008 divisors, whose sum is σ = 324736907040. Its totient is φ = 20285337600.

The previous prime is 83146103993. The next prime is 83146104017. The reversal of 83146104000 is 40164138.

83146104000 is a `hidden beast` number, since 8 + 3 + 1 + 4 + 610 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×83146104000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1409255971 + ... + 1409256029.

It is an arithmetic number, because the mean of its divisors is an integer number (322159630).

Almost surely, 2^83146104000 is an apocalyptic number.

83146104000 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 83146104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162368453520).

83146104000 is an abundant number, since it is smaller than the sum of its proper divisors (241590803040).

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

83146104000 is a wasteful number, since it uses less digits than its factorization.

83146104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 83146104000 its reverse (40164138), we get a palindrome (83186268138).

The spelling of 83146104000 in words is "eighty-three billion, one hundred forty-six million, one hundred four thousand".