123312986496 has 1024 divisors, whose sum is σ = 475656192000. Its totient is φ = 30600364032.

The previous prime is 123312986449. The next prime is 123312986567. The reversal of 123312986496 is 694689213321.

123312986496 is a `hidden beast` number, since 1 + 23 + 3 + 129 + 8 + 6 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336002505 + ... + 336002871.

It is an arithmetic number, because the mean of its divisors is an integer number (464508000).

Almost surely, 2^123312986496 is an apocalyptic number.

123312986496 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 123312986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237828096000).

123312986496 is an abundant number, since it is smaller than the sum of its proper divisors (352343205504).

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

123312986496 is a wasteful number, since it uses less digits than its factorization.

123312986496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 458 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 123312986496 in words is "one hundred twenty-three billion, three hundred twelve million, nine hundred eighty-six thousand, four hundred ninety-six".