124329580816 has 105 divisors (see below), whose sum is σ = 282134096869. Its totient is φ = 53076774912.

The previous prime is 124329580813. The next prime is 124329580853. The reversal of 124329580816 is 618085923421.

The square root of 124329580816 is 352604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 122402019600 + 1927561216 = 349860^2 + 43904^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 124329580816.

It is not an unprimeable number, because it can be changed into a prime (124329580813) 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 20 ways as a sum of consecutive naturals, for example, 483772560 + ... + 483772816.

Almost surely, 2^124329580816 is an apocalyptic number.

124329580816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

124329580816 is the 352604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124329580816

124329580816 is an abundant number, since it is smaller than the sum of its proper divisors (157804516053).

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

124329580816 is an frugal number, since it uses more digits than its factorization.

124329580816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 124329580816 by its sum of digits (49), we get a square (6092149459984 = 2468228²).

124329580816 divided by its sum of digits (49) gives a square (2537338384 = 50372²).

The spelling of 124329580816 in words is "one hundred twenty-four billion, three hundred twenty-nine million, five hundred eighty thousand, eight hundred sixteen".