4346059290144 has 384 divisors, whose sum is σ = 13672075898880. Its totient is φ = 1191490560000.

The previous prime is 4346059290121. The next prime is 4346059290151. The reversal of 4346059290144 is 4410929506434.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 148563519 + ... + 148592769.

It is an arithmetic number, because the mean of its divisors is an integer number (35604364320).

Almost surely, 2^{4346059290144} is an apocalyptic number.

4346059290144 is a gapful number since it is divisible by the number (44) 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 4346059290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836037949440).

4346059290144 is an abundant number, since it is smaller than the sum of its proper divisors (9326016608736).

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

4346059290144 is a wasteful number, since it uses less digits than its factorization.

4346059290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29504 (or 29496 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 4346059290144 in words is "four trillion, three hundred forty-six billion, fifty-nine million, two hundred ninety thousand, one hundred forty-four".