123405261896448 has 432 divisors, whose sum is σ = 427992227936000. Its totient is φ = 34732389593088.

The previous prime is 123405261896443. The next prime is 123405261896479. The reversal of 123405261896448 is 844698162504321.

123405261896448 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 0 + 5 + 2 + 6 + 189 + 6 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (123405261896443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27060678 + ... + 31290426.

Almost surely, 2^{123405261896448} is an apocalyptic number.

123405261896448 is a gapful number since it is divisible by the number (18) 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 123405261896448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213996113968000).

123405261896448 is an abundant number, since it is smaller than the sum of its proper divisors (304586966039552).

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

123405261896448 is an frugal number, since it uses more digits than its factorization.

123405261896448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229854 (or 4229828 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 123405261896448 in words is "one hundred twenty-three trillion, four hundred five billion, two hundred sixty-one million, eight hundred ninety-six thousand, four hundred forty-eight".