124378664256 has 672 divisors, whose sum is σ = 466652798976. Its totient is φ = 30730752000.

The previous prime is 124378664239. The next prime is 124378664257. The reversal of 124378664256 is 652466873421.

124378664256 is a `hidden beast` number, since 12 + 4 + 378 + 6 + 6 + 4 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124378664257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83868891 + ... + 83870373.

It is an arithmetic number, because the mean of its divisors is an integer number (694423808).

Almost surely, 2^124378664256 is an apocalyptic number.

124378664256 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 124378664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233326399488).

124378664256 is an abundant number, since it is smaller than the sum of its proper divisors (342274134720).

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

124378664256 is a wasteful number, since it uses less digits than its factorization.

124378664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1598 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 124378664256 in words is "one hundred twenty-four billion, three hundred seventy-eight million, six hundred sixty-four thousand, two hundred fifty-six".