1238004891648 has 1152 divisors, whose sum is σ = 4568659804800. Its totient is φ = 333092487168.

The previous prime is 1238004891647. The next prime is 1238004891671. The reversal of 1238004891648 is 8461984008321.

It is a happy number.

1238004891648 is a `hidden beast` number, since 1 + 23 + 80 + 0 + 489 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1238004891648² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1238004891594 and 1238004891603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238004891647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7413202861 + ... + 7413203027.

It is an arithmetic number, because the mean of its divisors is an integer number (3965850525).

Almost surely, 2^{1238004891648} is an apocalyptic number.

1238004891648 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 1238004891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284329902400).

1238004891648 is an abundant number, since it is smaller than the sum of its proper divisors (3330654913152).

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

1238004891648 is an frugal number, since it uses more digits than its factorization.

1238004891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

Adding to 1238004891648 its reverse (8461984008321), we get a palindrome (9699988899969).

The spelling of 1238004891648 in words is "one trillion, two hundred thirty-eight billion, four million, eight hundred ninety-one thousand, six hundred forty-eight".