1138241664000 has 3168 divisors, whose sum is σ = 5466187224576. Its totient is φ = 221891788800.

The previous prime is 1138241663989. The next prime is 1138241664011. The reversal of 1138241664000 is 4661428311.

1138241664000 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 2 + 4 + 1 + 6 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1138241663989) and next prime (1138241664011).

It is a super-3 number, since 3×1138241664000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49488767989 + ... + 49488768011.

Almost surely, 2^{1138241664000} is an apocalyptic number.

1138241664000 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 1138241664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733093612288).

1138241664000 is an abundant number, since it is smaller than the sum of its proper divisors (4327945560576).

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

1138241664000 is a wasteful number, since it uses less digits than its factorization.

1138241664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1138241664000 in words is "one trillion, one hundred thirty-eight billion, two hundred forty-one million, six hundred sixty-four thousand".