350138523648 has 112 divisors (see below), whose sum is σ = 988567258320. Its totient is φ = 109847248896.

The previous prime is 350138523643. The next prime is 350138523659. The reversal of 350138523648 is 846325831053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 350138523597 and 350138523606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350138523643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1243 + ... + 836826.

Almost surely, 2^350138523648 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 350138523648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494283629160).

350138523648 is an abundant number, since it is smaller than the sum of its proper divisors (638428734672).

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

350138523648 is an equidigital number, since it uses as much as digits as its factorization.

350138523648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838115 (or 838091 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 350138523648 in words is "three hundred fifty billion, one hundred thirty-eight million, five hundred twenty-three thousand, six hundred forty-eight".