355273690464 has 576 divisors, whose sum is σ = 1336733798400. Its totient is φ = 90126328320.

The previous prime is 355273690463. The next prime is 355273690469. The reversal of 355273690464 is 464096372553.

355273690464 is a `hidden beast` number, since 3 + 5 + 52 + 73 + 69 + 0 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 355273690464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355273690463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25739437 + ... + 25753235.

It is an arithmetic number, because the mean of its divisors is an integer number (2320718400).

Almost surely, 2^355273690464 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 355273690464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668366899200).

355273690464 is an abundant number, since it is smaller than the sum of its proper divisors (981460107936).

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

355273690464 is a wasteful number, since it uses less digits than its factorization.

355273690464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 355273690464 in words is "three hundred fifty-five billion, two hundred seventy-three million, six hundred ninety thousand, four hundred sixty-four".