351061044096 has 192 divisors, whose sum is σ = 1085294263680. Its totient is φ = 100253002752.

The previous prime is 351061044091. The next prime is 351061044109. The reversal of 351061044096 is 690440160153.

351061044096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351061044091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54619635 + ... + 54626061.

It is an arithmetic number, because the mean of its divisors is an integer number (5652574290).

Almost surely, 2^351061044096 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 351061044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542647131840).

351061044096 is an abundant number, since it is smaller than the sum of its proper divisors (734233219584).

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

351061044096 is a wasteful number, since it uses less digits than its factorization.

351061044096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 351061044096 in words is "three hundred fifty-one billion, sixty-one million, forty-four thousand, ninety-six".