355383688352 has 96 divisors (see below), whose sum is σ = 877125884544. Its totient is φ = 137696025600.

The previous prime is 355383688349. The next prime is 355383688391. The reversal of 355383688352 is 253886383553.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 355383688291 and 355383688300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47558 + ... + 844410.

It is an arithmetic number, because the mean of its divisors is an integer number (9136727964).

Almost surely, 2^355383688352 is an apocalyptic number.

355383688352 is a gapful number since it is divisible by the number (32) 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 355383688352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438562942272).

355383688352 is an abundant number, since it is smaller than the sum of its proper divisors (521742196192).

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

355383688352 is a wasteful number, since it uses less digits than its factorization.

355383688352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797062 (or 797054 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 59.

The spelling of 355383688352 in words is "three hundred fifty-five billion, three hundred eighty-three million, six hundred eighty-eight thousand, three hundred fifty-two".