353288996661888 has 1024 divisors, whose sum is σ = 1240450070400000. Its totient is φ = 98912242630656.

The previous prime is 353288996661751. The next prime is 353288996661961. The reversal of 353288996661888 is 888166699882353.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 353288996661798 and 353288996661807.

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, 58365930670 + ... + 58365936722.

It is an arithmetic number, because the mean of its divisors is an integer number (1211377021875).

Almost surely, 2^{353288996661888} 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 353288996661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620225035200000).

353288996661888 is an abundant number, since it is smaller than the sum of its proper divisors (887161073738112).

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

353288996661888 is an equidigital number, since it uses as much as digits as its factorization.

353288996661888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7047 counting only the distinct ones).

The product of its digits is 51597803520, while the sum is 90.

The spelling of 353288996661888 in words is "three hundred fifty-three trillion, two hundred eighty-eight billion, nine hundred ninety-six million, six hundred sixty-one thousand, eight hundred eighty-eight".