353120124013542 has 96 divisors (see below), whose sum is σ = 799941198491136. Its totient is φ = 112365971625600.

The previous prime is 353120124013541. The next prime is 353120124013619. The reversal of 353120124013542 is 245310421021353.

353120124013542 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 201 + 2 + 401 + 3 + 5 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 353120124013497 and 353120124013506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353120124013541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660916218 + ... + 661450290.

It is an arithmetic number, because the mean of its divisors is an integer number (8332720817616).

Almost surely, 2^{353120124013542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353120124013542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399970599245568).

353120124013542 is an abundant number, since it is smaller than the sum of its proper divisors (446821074477594).

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

353120124013542 is a wasteful number, since it uses less digits than its factorization.

353120124013542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537266 (or 537263 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 353120124013542 its reverse (245310421021353), we get a palindrome (598430545034895).

The spelling of 353120124013542 in words is "three hundred fifty-three trillion, one hundred twenty billion, one hundred twenty-four million, thirteen thousand, five hundred forty-two".