350355105644544 has 3888 divisors, whose sum is σ = 1460261910822624. Its totient is φ = 81730920775680.

The previous prime is 350355105644539. The next prime is 350355105644561. The reversal of 350355105644544 is 445446501553053.

350355105644544 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 5 + 5 + 1 + 0 + 56 + 44 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9469056909294 + ... + 9469056909330.

Almost surely, 2^{350355105644544} 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 350355105644544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730130955411312).

350355105644544 is an abundant number, since it is smaller than the sum of its proper divisors (1109906805178080).

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

350355105644544 is an frugal number, since it uses more digits than its factorization.

350355105644544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 54.

The spelling of 350355105644544 in words is "three hundred fifty trillion, three hundred fifty-five billion, one hundred five million, six hundred forty-four thousand, five hundred forty-four".