1048867138368 has 168 divisors, whose sum is σ = 3436324514688. Its totient is φ = 299636886528.

The previous prime is 1048867138279. The next prime is 1048867138369. The reversal of 1048867138368 is 8638317688401.

1048867138368 is a `hidden beast` number, since 1 + 0 + 4 + 88 + 67 + 138 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1048867138368² (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 (1048867138369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45884830 + ... + 45907682.

Almost surely, 2^{1048867138368} is an apocalyptic number.

1048867138368 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 1048867138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718162257344).

1048867138368 is an abundant number, since it is smaller than the sum of its proper divisors (2387457376320).

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

1048867138368 is a wasteful number, since it uses less digits than its factorization.

1048867138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34261 (or 34248 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 1048867138368 in words is "one trillion, forty-eight billion, eight hundred sixty-seven million, one hundred thirty-eight thousand, three hundred sixty-eight".