123165584640 has 864 divisors, whose sum is σ = 512206450560. Its totient is φ = 27943501824.

The previous prime is 123165584639. The next prime is 123165584669. The reversal of 123165584640 is 46485561321.

123165584640 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 6 + 5 + 584 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×123165584640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435213939 + ... + 435214221.

It is an arithmetic number, because the mean of its divisors is an integer number (592831540).

Almost surely, 2^123165584640 is an apocalyptic number.

123165584640 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 123165584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256103225280).

123165584640 is an abundant number, since it is smaller than the sum of its proper divisors (389040865920).

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

123165584640 is a wasteful number, since it uses less digits than its factorization.

123165584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 123165584640 in words is "one hundred twenty-three billion, one hundred sixty-five million, five hundred eighty-four thousand, six hundred forty".