355135200450 has 96 divisors (see below), whose sum is σ = 901590360000. Its totient is φ = 92462065920.

The previous prime is 355135200421. The next prime is 355135200463. The reversal of 355135200450 is 54002531553.

It is a happy number.

355135200450 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×355135200450² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17721036 + ... + 17741064.

It is an arithmetic number, because the mean of its divisors is an integer number (9391566250).

Almost surely, 2^355135200450 is an apocalyptic number.

355135200450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 355135200450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450795180000).

355135200450 is an abundant number, since it is smaller than the sum of its proper divisors (546455159550).

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

355135200450 is a wasteful number, since it uses less digits than its factorization.

355135200450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22836 (or 22831 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 355135200450 in words is "three hundred fifty-five billion, one hundred thirty-five million, two hundred thousand, four hundred fifty".