350316146015101 has 96 divisors (see below), whose sum is σ = 424826323590240. Its totient is φ = 287682931113984.

The previous prime is 350316146015041. The next prime is 350316146015131. The reversal of 350316146015101 is 101510641613053.

It can be written as a sum of positive squares in 16 ways, for example, as 109894840489476 + 240421305525625 = 10483074^2 + 15505525^2 .

It is not a de Polignac number, because 350316146015101 - 2³⁵ = 350281786276733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350316146015131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148627977615 + ... + 148627979971.

It is an arithmetic number, because the mean of its divisors is an integer number (4425274204065).

Almost surely, 2^{350316146015101} is an apocalyptic number.

It is an amenable number.

350316146015101 is a deficient number, since it is larger than the sum of its proper divisors (74510177575139).

350316146015101 is a wasteful number, since it uses less digits than its factorization.

350316146015101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

Adding to 350316146015101 its reverse (101510641613053), we get a palindrome (451826787628154).

The spelling of 350316146015101 in words is "three hundred fifty trillion, three hundred sixteen billion, one hundred forty-six million, fifteen thousand, one hundred one".