124726781664 has 384 divisors, whose sum is σ = 394232832000. Its totient is φ = 38239133184.

The previous prime is 124726781651. The next prime is 124726781671. The reversal of 124726781664 is 466187627421.

124726781664 is a `hidden beast` number, since 1 + 2 + 472 + 6 + 7 + 8 + 166 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 124726781664.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 107245147 + ... + 107246309.

It is an arithmetic number, because the mean of its divisors is an integer number (1026648000).

Almost surely, 2^124726781664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124726781664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197116416000).

124726781664 is an abundant number, since it is smaller than the sum of its proper divisors (269506050336).

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

124726781664 is a wasteful number, since it uses less digits than its factorization.

124726781664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1373 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 124726781664 in words is "one hundred twenty-four billion, seven hundred twenty-six million, seven hundred eighty-one thousand, six hundred sixty-four".