1355331006848 has 256 divisors, whose sum is σ = 3566886503040. Its totient is φ = 497717084160.

The previous prime is 1355331006847. The next prime is 1355331006871. The reversal of 1355331006848 is 8486001335531.

It is a super-2 number, since 2×1355331006848² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355331006847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14408288 + ... + 14502048.

Almost surely, 2^{1355331006848} 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 1355331006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783443251520).

1355331006848 is an abundant number, since it is smaller than the sum of its proper divisors (2211555496192).

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

1355331006848 is a wasteful number, since it uses less digits than its factorization.

1355331006848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93885 (or 93873 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 1355331006848 in words is "one trillion, three hundred fifty-five billion, three hundred thirty-one million, six thousand, eight hundred forty-eight".