1138445146800 has 1080 divisors, whose sum is σ = 4520342190000. Its totient is φ = 263441203200.

The previous prime is 1138445146757. The next prime is 1138445146801. The reversal of 1138445146800 is 86415448311.

1138445146800 is a `hidden beast` number, since 1 + 1 + 3 + 84 + 451 + 46 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138445146801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2281452951 + ... + 2281453449.

Almost surely, 2^{1138445146800} is an apocalyptic number.

1138445146800 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 1138445146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260171095000).

1138445146800 is an abundant number, since it is smaller than the sum of its proper divisors (3381897043200).

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

1138445146800 is a wasteful number, since it uses less digits than its factorization.

1138445146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1138445146800 in words is "one trillion, one hundred thirty-eight billion, four hundred forty-five million, one hundred forty-six thousand, eight hundred".