355225021128432 has 1280 divisors, whose sum is σ = 1273105644912640. Its totient is φ = 92341928448000.

The previous prime is 355225021128379. The next prime is 355225021128443. The reversal of 355225021128432 is 234821120522553.

355225021128432 is a `hidden beast` number, since 3 + 5 + 5 + 22 + 50 + 21 + 128 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 767224667433 + ... + 767224667895.

It is an arithmetic number, because the mean of its divisors is an integer number (994613785088).

Almost surely, 2^{355225021128432} 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 355225021128432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636552822456320).

355225021128432 is an abundant number, since it is smaller than the sum of its proper divisors (917880623784208).

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

355225021128432 is a wasteful number, since it uses less digits than its factorization.

355225021128432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 355225021128432 in words is "three hundred fifty-five trillion, two hundred twenty-five billion, twenty-one million, one hundred twenty-eight thousand, four hundred thirty-two".