1362645648 has 360 divisors, whose sum is σ = 4979532480. Its totient is φ = 339655680.

The previous prime is 1362645631. The next prime is 1362645671. The reversal of 1362645648 is 8465462631.

1362645648 is a `hidden beast` number, since 13 + 626 + 4 + 5 + 6 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3236478 + ... + 3236898.

Almost surely, 2^1362645648 is an apocalyptic number.

1362645648 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 1362645648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489766240).

1362645648 is an abundant number, since it is smaller than the sum of its proper divisors (3616886832).

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

1362645648 is a wasteful number, since it uses less digits than its factorization.

1362645648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 465 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 1362645648 is about 36914.0305033195. The cubic root of 1362645648 is about 1108.6496166681.

The spelling of 1362645648 in words is "one billion, three hundred sixty-two million, six hundred forty-five thousand, six hundred forty-eight".