33850953345 has 96 divisors (see below), whose sum is σ = 60370168320. Its totient is φ = 16183411200.

The previous prime is 33850953281. The next prime is 33850953359. The reversal of 33850953345 is 54335905833.

It is not a de Polignac number, because 33850953345 - 2⁶ = 33850953281 is a prime.

It is a super-2 number, since 2×33850953345² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33850953294 and 33850953303.

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 95 ways as a sum of consecutive naturals, for example, 78540280 + ... + 78540710.

It is an arithmetic number, because the mean of its divisors is an integer number (628855920).

Almost surely, 2^33850953345 is an apocalyptic number.

It is an amenable number.

33850953345 is a deficient number, since it is larger than the sum of its proper divisors (26519214975).

33850953345 is a wasteful number, since it uses less digits than its factorization.

33850953345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 33850953345 in words is "thirty-three billion, eight hundred fifty million, nine hundred fifty-three thousand, three hundred forty-five".