123663044554560 has 672 divisors, whose sum is σ = 507744801607680. Its totient is φ = 28062470227968.

The previous prime is 123663044554493. The next prime is 123663044554583. The reversal of 123663044554560 is 65455440366321.

123663044554560 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 6 + 30 + 4 + 4 + 5 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 123663044554497 and 123663044554506.

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, 74843257 + ... + 76477703.

It is an arithmetic number, because the mean of its divisors is an integer number (755572621440).

Almost surely, 2^{123663044554560} is an apocalyptic number.

123663044554560 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 123663044554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253872400803840).

123663044554560 is an abundant number, since it is smaller than the sum of its proper divisors (384081757053120).

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

123663044554560 is a wasteful number, since it uses less digits than its factorization.

123663044554560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634625 (or 1634603 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 123663044554560 in words is "one hundred twenty-three trillion, six hundred sixty-three billion, forty-four million, five hundred fifty-four thousand, five hundred sixty".