123905408004 has 405 divisors, whose sum is σ = 400920922857. Its totient is φ = 32170166784.

The previous prime is 123905407991. The next prime is 123905408009. The reversal of 123905408004 is 400804509321.

The square root of 123905408004 is 352002.

It is a perfect power (a square), and thus also a powerful number.

123905408004 is a `hidden beast` number, since 1 + 2 + 39 + 0 + 540 + 80 + 0 + 4 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3551921604 + 120353486400 = 59598^2 + 346920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 123905408004.

It is not an unprimeable number, because it can be changed into a prime (123905408009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4272600262 + ... + 4272600290.

Almost surely, 2^123905408004 is an apocalyptic number.

123905408004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

123905408004 is the 352002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123905408004

123905408004 is an abundant number, since it is smaller than the sum of its proper divisors (277015514853).

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

123905408004 is an equidigital number, since it uses as much as digits as its factorization.

123905408004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 123905408004 by its sum of digits (36), we get a square (4460594688144 = 2112012²).

123905408004 divided by its sum of digits (36) gives a square (3441816889 = 58667²).

The spelling of 123905408004 in words is "one hundred twenty-three billion, nine hundred five million, four hundred eight thousand, four".