123453414656 has 288 divisors, whose sum is σ = 308669574528. Its totient is φ = 48412753920.

The previous prime is 123453414653. The next prime is 123453414697. The reversal of 123453414656 is 656414354321.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123453414653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101440160 + ... + 101441376.

It is an arithmetic number, because the mean of its divisors is an integer number (1071769356).

Almost surely, 2^123453414656 is an apocalyptic number.

123453414656 is a gapful number since it is divisible by the number (16) 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 123453414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154334787264).

123453414656 is an abundant number, since it is smaller than the sum of its proper divisors (185216159872).

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

123453414656 is a wasteful number, since it uses less digits than its factorization.

123453414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1423 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 44.

Adding to 123453414656 its reverse (656414354321), we get a palindrome (779867768977).

The spelling of 123453414656 in words is "one hundred twenty-three billion, four hundred fifty-three million, four hundred fourteen thousand, six hundred fifty-six".