146101579139712 has 1024 divisors, whose sum is σ = 465129713664000. Its totient is φ = 39775286476800.

The previous prime is 146101579139671. The next prime is 146101579139779. The reversal of 146101579139712 is 217931975101641.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290460395653 + ... + 290460396155.

It is an arithmetic number, because the mean of its divisors is an integer number (454228236000).

Almost surely, 2^{146101579139712} is an apocalyptic number.

146101579139712 is a gapful number since it is divisible by the number (12) 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 146101579139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232564856832000).

146101579139712 is an abundant number, since it is smaller than the sum of its proper divisors (319028134524288).

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

146101579139712 is a wasteful number, since it uses less digits than its factorization.

146101579139712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 57.

The spelling of 146101579139712 in words is "one hundred forty-six trillion, one hundred one billion, five hundred seventy-nine million, one hundred thirty-nine thousand, seven hundred twelve".