123048643156704 has 384 divisors, whose sum is σ = 372422271312000. Its totient is φ = 39478817193984.

The previous prime is 123048643156687. The next prime is 123048643156741. The reversal of 123048643156704 is 407651346840321.

123048643156704 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 48 + 6 + 4 + 31 + 567 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20670019392 + ... + 20670025344.

It is an arithmetic number, because the mean of its divisors is an integer number (969849664875).

Almost surely, 2^{123048643156704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123048643156704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186211135656000).

123048643156704 is an abundant number, since it is smaller than the sum of its proper divisors (249373628155296).

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

123048643156704 is a wasteful number, since it uses less digits than its factorization.

123048643156704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 123048643156704 in words is "one hundred twenty-three trillion, forty-eight billion, six hundred forty-three million, one hundred fifty-six thousand, seven hundred four".