1352717868096 has 945 divisors, whose sum is σ = 4841009415879. Its totient is φ = 361089501696.

The previous prime is 1352717868043. The next prime is 1352717868121. The reversal of 1352717868096 is 6908687172531.

The square root of 1352717868096 is 1163064.

It is a perfect power (a square), and thus also a powerful number.

1352717868096 is a `hidden beast` number, since 1 + 3 + 527 + 17 + 8 + 6 + 8 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 134 ways as a sum of consecutive naturals, for example, 31458555051 + ... + 31458555093.

Almost surely, 2^{1352717868096} is an apocalyptic number.

1352717868096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1352717868096 is the 1163064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352717868096

1352717868096 is an abundant number, since it is smaller than the sum of its proper divisors (3488291547783).

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

1352717868096 is an frugal number, since it uses more digits than its factorization.

1352717868096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1352717868096 in words is "one trillion, three hundred fifty-two billion, seven hundred seventeen million, eight hundred sixty-eight thousand, ninety-six".