1238864647680 has 1600 divisors, whose sum is σ = 5251599733248. Its totient is φ = 275719127040.

The previous prime is 1238864647577. The next prime is 1238864647829. The reversal of 1238864647680 is 867464688321.

1238864647680 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 86 + 4 + 6 + 476 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1667381389 + ... + 1667382131.

Almost surely, 2^{1238864647680} is an apocalyptic number.

1238864647680 is a gapful number since it is divisible by the number (10) 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 1238864647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625799866624).

1238864647680 is an abundant number, since it is smaller than the sum of its proper divisors (4012735085568).

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

1238864647680 is a wasteful number, since it uses less digits than its factorization.

1238864647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 1238864647680 in words is "one trillion, two hundred thirty-eight billion, eight hundred sixty-four million, six hundred forty-seven thousand, six hundred eighty".