1134776643000 has 1536 divisors, whose sum is σ = 4972747852800. Its totient is φ = 211631616000.

The previous prime is 1134776642981. The next prime is 1134776643019. The reversal of 1134776643000 is 3466774311.

It is an interprime number because it is at equal distance from previous prime (1134776642981) and next prime (1134776643019).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 777776271 + ... + 777777729.

It is an arithmetic number, because the mean of its divisors is an integer number (3237466050).

Almost surely, 2^{1134776643000} is an apocalyptic number.

1134776643000 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 1134776643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486373926400).

1134776643000 is an abundant number, since it is smaller than the sum of its proper divisors (3837971209800).

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

1134776643000 is a wasteful number, since it uses less digits than its factorization.

1134776643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 1134776643000 in words is "one trillion, one hundred thirty-four billion, seven hundred seventy-six million, six hundred forty-three thousand".