1361628387468 has 216 divisors, whose sum is σ = 3668799790656. Its totient is φ = 425716948800.

The previous prime is 1361628387463. The next prime is 1361628387521. The reversal of 1361628387468 is 8647838261631.

1361628387468 is a `hidden beast` number, since 1 + 3 + 6 + 16 + 2 + 83 + 87 + 468 = 666.

It is not an unprimeable number, because it can be changed into a prime (1361628387463) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1162790523 + ... + 1162791693.

It is an arithmetic number, because the mean of its divisors is an integer number (16985184216).

Almost surely, 2^{1361628387468} is an apocalyptic number.

1361628387468 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 1361628387468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834399895328).

1361628387468 is an abundant number, since it is smaller than the sum of its proper divisors (2307171403188).

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

1361628387468 is a wasteful number, since it uses less digits than its factorization.

1361628387468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2009 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 1361628387468 in words is "one trillion, three hundred sixty-one billion, six hundred twenty-eight million, three hundred eighty-seven thousand, four hundred sixty-eight".