350946649053 has 128 divisors (see below), whose sum is σ = 716944650240. Its totient is φ = 163737365760.

The previous prime is 350946648991. The next prime is 350946649091.

350946649053 is a `hidden beast` number, since 3 + 5 + 0 + 94 + 66 + 490 + 5 + 3 = 666.

350946649053 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 350946649053 - 2⁶ = 350946648989 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350946609053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 824526 + ... + 1175472.

It is an arithmetic number, because the mean of its divisors is an integer number (5601130080).

Almost surely, 2^350946649053 is an apocalyptic number.

350946649053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

350946649053 is an abundant number, since it is smaller than the sum of its proper divisors (365998001187).

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

350946649053 is a wasteful number, since it uses less digits than its factorization.

350946649053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351024 (or 351018 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

It can be divided in two parts, 350946 and 649053, that added together give a palindrome (999999).

The spelling of 350946649053 in words is "three hundred fifty billion, nine hundred forty-six million, six hundred forty-nine thousand, fifty-three".