1123554308352 has 288 divisors, whose sum is σ = 3504862040064. Its totient is φ = 312864768000.

The previous prime is 1123554308347. The next prime is 1123554308369. The reversal of 1123554308352 is 2538034553211.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60884727 + ... + 60903177.

Almost surely, 2^{1123554308352} is an apocalyptic number.

1123554308352 is a gapful number since it is divisible by the number (12) 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 1123554308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752431020032).

1123554308352 is an abundant number, since it is smaller than the sum of its proper divisors (2381307731712).

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

1123554308352 is a wasteful number, since it uses less digits than its factorization.

1123554308352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18765 (or 18751 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 1123554308352 in words is "one trillion, one hundred twenty-three billion, five hundred fifty-four million, three hundred eight thousand, three hundred fifty-two".