123906392064 has 1024 divisors, whose sum is σ = 481498752000. Its totient is φ = 30958682112.

The previous prime is 123906392053. The next prime is 123906392111. The reversal of 123906392064 is 460293609321.

123906392064 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 0 + 639 + 2 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6521389047 + ... + 6521389065.

It is an arithmetic number, because the mean of its divisors is an integer number (470213625).

Almost surely, 2^123906392064 is an apocalyptic number.

123906392064 is a gapful number since it is divisible by the number (14) 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 123906392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240749376000).

123906392064 is an abundant number, since it is smaller than the sum of its proper divisors (357592359936).

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

123906392064 is an frugal number, since it uses more digits than its factorization.

123906392064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 123906392064 in words is "one hundred twenty-three billion, nine hundred six million, three hundred ninety-two thousand, sixty-four".