123409464741504 has 640 divisors, whose sum is σ = 398181040012800. Its totient is φ = 37790724980736.

The previous prime is 123409464741503. The next prime is 123409464741553. The reversal of 123409464741504 is 405147464904321.

123409464741504 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 0 + 9 + 4 + 64 + 74 + 1 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (123409464741503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13331470444 + ... + 13331479700.

It is an arithmetic number, because the mean of its divisors is an integer number (622157875020).

Almost surely, 2^{123409464741504} 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 123409464741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199090520006400).

123409464741504 is an abundant number, since it is smaller than the sum of its proper divisors (274771575271296).

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

123409464741504 is a wasteful number, since it uses less digits than its factorization.

123409464741504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11102 (or 11081 counting only the distinct ones).

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

The spelling of 123409464741504 in words is "one hundred twenty-three trillion, four hundred nine billion, four hundred sixty-four million, seven hundred forty-one thousand, five hundred four".