34226497446144 has 288 divisors, whose sum is σ = 92368118513664. Its totient is φ = 11250399068160.

The previous prime is 34226497446137. The next prime is 34226497446181. The reversal of 34226497446144 is 44164479462243.

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 31 ways as a sum of consecutive naturals, for example, 13209762289 + ... + 13209764879.

It is an arithmetic number, because the mean of its divisors is an integer number (320722633728).

Almost surely, 2^{34226497446144} 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 34226497446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46184059256832).

34226497446144 is an abundant number, since it is smaller than the sum of its proper divisors (58141621067520).

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

34226497446144 is a wasteful number, since it uses less digits than its factorization.

34226497446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3519 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 60.

The spelling of 34226497446144 in words is "thirty-four trillion, two hundred twenty-six billion, four hundred ninety-seven million, four hundred forty-six thousand, one hundred forty-four".