355306400456 has 128 divisors (see below), whose sum is σ = 800050176000. Its totient is φ = 144740494080.

The previous prime is 355306400377. The next prime is 355306400531. The reversal of 355306400456 is 654004603553.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58329971 + ... + 58336061.

It is an arithmetic number, because the mean of its divisors is an integer number (6250392000).

Almost surely, 2^355306400456 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 355306400456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400025088000).

355306400456 is an abundant number, since it is smaller than the sum of its proper divisors (444743775544).

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

355306400456 is a wasteful number, since it uses less digits than its factorization.

355306400456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 355306400456 in words is "three hundred fifty-five billion, three hundred six million, four hundred thousand, four hundred fifty-six".