123309450432 has 168 divisors, whose sum is σ = 404164800000. Its totient is φ = 35211345408.

The previous prime is 123309450431. The next prime is 123309450443. The reversal of 123309450432 is 234054903321.

123309450432 is a `hidden beast` number, since 1 + 2 + 3 + 30 + 94 + 504 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (123309450431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8052319 + ... + 8067617.

Almost surely, 2^123309450432 is an apocalyptic number.

123309450432 is a gapful number since it is divisible by the number (12) 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 123309450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202082400000).

123309450432 is an abundant number, since it is smaller than the sum of its proper divisors (280855349568).

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

123309450432 is a wasteful number, since it uses less digits than its factorization.

123309450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17323 (or 17310 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 123309450432 in words is "one hundred twenty-three billion, three hundred nine million, four hundred fifty thousand, four hundred thirty-two".