35315804348448 has 192 divisors, whose sum is σ = 102173178280320. Its totient is φ = 10614854688768.

The previous prime is 35315804348387. The next prime is 35315804348471. The reversal of 35315804348448 is 84484340851353.

It is a junction number, because it is equal to n+sod(n) for n = 35315804348391 and 35315804348400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7303590 + ... + 11134362.

It is an arithmetic number, because the mean of its divisors is an integer number (532151970210).

Almost surely, 2^{35315804348448} 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 35315804348448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51086589140160).

35315804348448 is an abundant number, since it is smaller than the sum of its proper divisors (66857373931872).

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

35315804348448 is a wasteful number, since it uses less digits than its factorization.

35315804348448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830971 (or 3830963 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 60.

The spelling of 35315804348448 in words is "thirty-five trillion, three hundred fifteen billion, eight hundred four million, three hundred forty-eight thousand, four hundred forty-eight".