355795475616 has 576 divisors, whose sum is σ = 1305913190400. Its totient is φ = 92976823296.

The previous prime is 355795475573. The next prime is 355795475639. The reversal of 355795475616 is 616574597553.

355795475616 is a `hidden beast` number, since 3 + 5 + 5 + 7 + 9 + 5 + 4 + 7 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29986101 + ... + 29997963.

It is an arithmetic number, because the mean of its divisors is an integer number (2267210400).

Almost surely, 2^355795475616 is an apocalyptic number.

355795475616 is a gapful number since it is divisible by the number (36) 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 355795475616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652956595200).

355795475616 is an abundant number, since it is smaller than the sum of its proper divisors (950117714784).

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

355795475616 is a wasteful number, since it uses less digits than its factorization.

355795475616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943 (or 11923 counting only the distinct ones).

The product of its digits is 119070000, while the sum is 63.

The spelling of 355795475616 in words is "three hundred fifty-five billion, seven hundred ninety-five million, four hundred seventy-five thousand, six hundred sixteen".