4259146341632 has 864 divisors, whose sum is σ = 12082629371904. Its totient is φ = 1453895516160.

The previous prime is 4259146341599. The next prime is 4259146341761. The reversal of 4259146341632 is 2361436419524.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 137391817457 + ... + 137391817487.

It is an arithmetic number, because the mean of its divisors is an integer number (13984524736).

Almost surely, 2^{4259146341632} 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 4259146341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041314685952).

4259146341632 is an abundant number, since it is smaller than the sum of its proper divisors (7823483030272).

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

4259146341632 is an equidigital number, since it uses as much as digits as its factorization.

4259146341632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 89 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 50.

The spelling of 4259146341632 in words is "four trillion, two hundred fifty-nine billion, one hundred forty-six million, three hundred forty-one thousand, six hundred thirty-two".