123848464320 has 1344 divisors, whose sum is σ = 539374080000. Its totient is φ = 26734675968.

The previous prime is 123848464307. The next prime is 123848464361. The reversal of 123848464320 is 23464848321.

It is a happy number.

123848464320 is a `hidden beast` number, since 123 + 8 + 48 + 464 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×123848464320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1567702041 + ... + 1567702119.

It is an arithmetic number, because the mean of its divisors is an integer number (401320000).

Almost surely, 2^123848464320 is an apocalyptic number.

123848464320 is a gapful number since it is divisible by the number (10) 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 123848464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269687040000).

123848464320 is an abundant number, since it is smaller than the sum of its proper divisors (415525615680).

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

123848464320 is an equidigital number, since it uses as much as digits as its factorization.

123848464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 123848464320 in words is "one hundred twenty-three billion, eight hundred forty-eight million, four hundred sixty-four thousand, three hundred twenty".