1138546618776 has 512 divisors, whose sum is σ = 3721503744000. Its totient is φ = 319798886400.

The previous prime is 1138546618763. The next prime is 1138546618777. The reversal of 1138546618776 is 6778166458311.

1138546618776 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 5 + 4 + 6 + 618 + 7 + 7 + 6 = 666.

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 (1138546618777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2839268176 + ... + 2839268576.

It is an arithmetic number, because the mean of its divisors is an integer number (7268562000).

Almost surely, 2^{1138546618776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138546618776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860751872000).

1138546618776 is an abundant number, since it is smaller than the sum of its proper divisors (2582957125224).

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

1138546618776 is an equidigital number, since it uses as much as digits as its factorization.

1138546618776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 749 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 1138546618776 in words is "one trillion, one hundred thirty-eight billion, five hundred forty-six million, six hundred eighteen thousand, seven hundred seventy-six".