1359351963648 has 1120 divisors, whose sum is σ = 4975839517440. Its totient is φ = 361184624640.

The previous prime is 1359351963643. The next prime is 1359351963649. The reversal of 1359351963648 is 8463691539531.

1359351963648 is a `hidden beast` number, since 1 + 3 + 59 + 3 + 519 + 6 + 3 + 64 + 8 = 666.

It is a super-2 number, since 2×1359351963648² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359351963643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6442426263 + ... + 6442426473.

Almost surely, 2^{1359351963648} is an apocalyptic number.

1359351963648 is a gapful number since it is divisible by the number (18) 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 1359351963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487919758720).

1359351963648 is an abundant number, since it is smaller than the sum of its proper divisors (3616487553792).

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

1359351963648 is an equidigital number, since it uses as much as digits as its factorization.

1359351963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 315 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 1359351963648 in words is "one trillion, three hundred fifty-nine billion, three hundred fifty-one million, nine hundred sixty-three thousand, six hundred forty-eight".