1126155846816 has 1728 divisors, whose sum is σ = 4636871568000. Its totient is φ = 262667059200.

The previous prime is 1126155846787. The next prime is 1126155846817. The reversal of 1126155846816 is 6186485516211.

It is a happy number.

1126155846816 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 1 + 558 + 4 + 6 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1126155846817) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3226807410 + ... + 3226807758.

It is an arithmetic number, because the mean of its divisors is an integer number (2683374750).

Almost surely, 2^{1126155846816} is an apocalyptic number.

1126155846816 is a gapful number since it is divisible by the number (16) 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 1126155846816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318435784000).

1126155846816 is an abundant number, since it is smaller than the sum of its proper divisors (3510715721184).

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

1126155846816 is a wasteful number, since it uses less digits than its factorization.

1126155846816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 426 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 1126155846816 in words is "one trillion, one hundred twenty-six billion, one hundred fifty-five million, eight hundred forty-six thousand, eight hundred sixteen".