1353242636000 has 96 divisors (see below), whose sum is σ = 3520500695712. Its totient is φ = 509456025600.

The previous prime is 1353242635993. The next prime is 1353242636003. The reversal of 1353242636000 is 6362423531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353242636003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9882314 + ... + 10018313.

It is an arithmetic number, because the mean of its divisors is an integer number (36671882247).

Almost surely, 2^{1353242636000} is an apocalyptic number.

1353242636000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353242636000 is an abundant number, since it is smaller than the sum of its proper divisors (2167258059712).

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

1353242636000 is a wasteful number, since it uses less digits than its factorization.

1353242636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19900669 (or 19900651 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 1353242636000 in words is "one trillion, three hundred fifty-three billion, two hundred forty-two million, six hundred thirty-six thousand".