355613342448 has 240 divisors, whose sum is σ = 1158495184896. Its totient is φ = 93165811200.

The previous prime is 355613342353. The next prime is 355613342449. The reversal of 355613342448 is 844243316553.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 355613342397 and 355613342406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355613342449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4578465 + ... + 4655487.

Almost surely, 2^355613342448 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 355613342448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579247592448).

355613342448 is an abundant number, since it is smaller than the sum of its proper divisors (802881842448).

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

355613342448 is a wasteful number, since it uses less digits than its factorization.

355613342448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77212 (or 77199 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 355613342448 in words is "three hundred fifty-five billion, six hundred thirteen million, three hundred forty-two thousand, four hundred forty-eight".