1352442281536 has 112 divisors (see below), whose sum is σ = 2718374570352. Its totient is φ = 667570176000.

The previous prime is 1352442281419. The next prime is 1352442281591. The reversal of 1352442281536 is 6351822442531.

It can be written as a sum of positive squares in 8 ways, for example, as 35585049600 + 1316857231936 = 188640^2 + 1147544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696915890 + ... + 1696916686.

It is an arithmetic number, because the mean of its divisors is an integer number (24271201521).

Almost surely, 2^{1352442281536} is an apocalyptic number.

1352442281536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1352442281536 is an abundant number, since it is smaller than the sum of its proper divisors (1365932288816).

1352442281536 is a wasteful number, since it uses less digits than its factorization.

1352442281536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1838 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 46.

The spelling of 1352442281536 in words is "one trillion, three hundred fifty-two billion, four hundred forty-two million, two hundred eighty-one thousand, five hundred thirty-six".