1123142746464 has 72 divisors (see below), whose sum is σ = 3211583396112. Its totient is φ = 372312495360.

The previous prime is 1123142746463. The next prime is 1123142746571. The reversal of 1123142746464 is 4646472413211.

1123142746464 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 142 + 7 + 46 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1123142746464² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123142746463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10720804 + ... + 10825059.

It is an arithmetic number, because the mean of its divisors is an integer number (44605324946).

Almost surely, 2^{1123142746464} is an apocalyptic number.

It is an amenable number.

1123142746464 is an abundant number, since it is smaller than the sum of its proper divisors (2088440649648).

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

1123142746464 is a wasteful number, since it uses less digits than its factorization.

1123142746464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21546060 (or 21546049 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 1123142746464 in words is "one trillion, one hundred twenty-three billion, one hundred forty-two million, seven hundred forty-six thousand, four hundred sixty-four".