355520505402144 has 72 divisors (see below), whose sum is σ = 1026101160236880. Its totient is φ = 116738076394368.

The previous prime is 355520505402131. The next prime is 355520505402149. The reversal of 355520505402144 is 441204505025553.

355520505402144 is a `hidden beast` number, since 3 + 5 + 5 + 52 + 0 + 50 + 5 + 402 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×355520505402144² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 355520505402144.

It is not an unprimeable number, because it can be changed into a prime (355520505402149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9212265774 + ... + 9212304365.

It is an arithmetic number, because the mean of its divisors is an integer number (14251405003290).

Almost surely, 2^{355520505402144} is an apocalyptic number.

It is an amenable number.

355520505402144 is an abundant number, since it is smaller than the sum of its proper divisors (670580654834736).

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

355520505402144 is a wasteful number, since it uses less digits than its factorization.

355520505402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18424570222 (or 18424570211 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 355520505402144 in words is "three hundred fifty-five trillion, five hundred twenty billion, five hundred five million, four hundred two thousand, one hundred forty-four".