353445516060 has 384 divisors, whose sum is σ = 1275070906368. Its totient is φ = 71148672000.

The previous prime is 353445516031. The next prime is 353445516071. The reversal of 353445516060 is 60615544353.

353445516060 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12002755 + ... + 12032165.

It is an arithmetic number, because the mean of its divisors is an integer number (3320497152).

Almost surely, 2^353445516060 is an apocalyptic number.

353445516060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353445516060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637535453184).

353445516060 is an abundant number, since it is smaller than the sum of its proper divisors (921625390308).

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

353445516060 is a wasteful number, since it uses less digits than its factorization.

353445516060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29545 (or 29543 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 353445516060 in words is "three hundred fifty-three billion, four hundred forty-five million, five hundred sixteen thousand, sixty".