1353215102976 has 832 divisors, whose sum is σ = 4580627374080. Its totient is φ = 395941478400.

The previous prime is 1353215102969. The next prime is 1353215103017. The reversal of 1353215102976 is 6792015123531.

1353215102976 is a `hidden beast` number, since 1 + 3 + 532 + 1 + 5 + 102 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×1353215102976² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3054661411 + ... + 3054661853.

Almost surely, 2^{1353215102976} is an apocalyptic number.

1353215102976 is a gapful number since it is divisible by the number (16) 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 1353215102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290313687040).

1353215102976 is an abundant number, since it is smaller than the sum of its proper divisors (3227412271104).

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

1353215102976 is an frugal number, since it uses more digits than its factorization.

1353215102976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 1353215102976 in words is "one trillion, three hundred fifty-three billion, two hundred fifteen million, one hundred two thousand, nine hundred seventy-six".