355953531353056 has 768 divisors, whose sum is σ = 945038817902592. Its totient is φ = 128012451840000.

The previous prime is 355953531353029. The next prime is 355953531353071. The reversal of 355953531353056 is 650353135359553.

It is a happy number.

It is a super-2 number, since 2×355953531353056² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 355953531352985 and 355953531353003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44768393881 + ... + 44768401831.

It is an arithmetic number, because the mean of its divisors is an integer number (1230519294144).

Almost surely, 2^{355953531353056} 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 355953531353056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472519408951296).

355953531353056 is an abundant number, since it is smaller than the sum of its proper divisors (589085286549536).

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

355953531353056 is a wasteful number, since it uses less digits than its factorization.

355953531353056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 205031250, while the sum is 61.

The spelling of 355953531353056 in words is "three hundred fifty-five trillion, nine hundred fifty-three billion, five hundred thirty-one million, three hundred fifty-three thousand, fifty-six".