123016401648 has 120 divisors (see below), whose sum is σ = 408029801088. Its totient is φ = 35147535552.

The previous prime is 123016401647. The next prime is 123016401653. The reversal of 123016401648 is 846104610321.

123016401648 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 6 + 4 + 0 + 1 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123016401647) 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, 2232786 + ... + 2287217.

Almost surely, 2^123016401648 is an apocalyptic number.

123016401648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123016401648 is an abundant number, since it is smaller than the sum of its proper divisors (285013399440).

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

123016401648 is an equidigital number, since it uses as much as digits as its factorization.

123016401648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520033 (or 4520015 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 123016401648 in words is "one hundred twenty-three billion, sixteen million, four hundred one thousand, six hundred forty-eight".