35123934001338 has 192 divisors, whose sum is σ = 97330669286400. Its totient is φ = 9192739533120.

The previous prime is 35123934001291. The next prime is 35123934001349. The reversal of 35123934001338 is 83310043932153.

35123934001338 is a `hidden beast` number, since 3 + 5 + 1 + 23 + 93 + 400 + 133 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35123934001293 and 35123934001302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6269973 + ... + 10467111.

It is an arithmetic number, because the mean of its divisors is an integer number (506930569200).

Almost surely, 2^{35123934001338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35123934001338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48665334643200).

35123934001338 is an abundant number, since it is smaller than the sum of its proper divisors (62206735285062).

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

35123934001338 is a wasteful number, since it uses less digits than its factorization.

35123934001338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197314 (or 4197295 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 35123934001338 in words is "thirty-five trillion, one hundred twenty-three billion, nine hundred thirty-four million, one thousand, three hundred thirty-eight".