1123345567890 has 96 divisors (see below), whose sum is σ = 3594705843456. Its totient is φ = 237013568640.

The previous prime is 1123345567873. The next prime is 1123345567907. The reversal of 1123345567890 is 987655433211.

It is a happy number.

1123345567890 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 4 + 556 + 7 + 89 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1123345567873) and next prime (1123345567907).

It is a super-3 number, since 3×1123345567890³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68572126 + ... + 68588505.

It is an arithmetic number, because the mean of its divisors is an integer number (37444852536).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1123345567890 = 2246691135780, but 3⋅1123345567890 = 3370036703670 is not.

Almost surely, 2^{1123345567890} is an apocalyptic number.

1123345567890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1123345567890 is an abundant number, since it is smaller than the sum of its proper divisors (2471360275566).

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

1123345567890 is a wasteful number, since it uses less digits than its factorization.

1123345567890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137160664 (or 137160661 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1123345567890 in words is "one trillion, one hundred twenty-three billion, three hundred forty-five million, five hundred sixty-seven thousand, eight hundred ninety".