124444346412672 has 1152 divisors, whose sum is σ = 451481164068480. Its totient is φ = 33868314501120.

The previous prime is 124444346412671. The next prime is 124444346412677. The reversal of 124444346412672 is 276214643444421.

124444346412672 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 443 + 4 + 6 + 4 + 126 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×124444346412672² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (124444346412671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1810249533 + ... + 1810318275.

Almost surely, 2^{124444346412672} is an apocalyptic number.

124444346412672 is a gapful number since it is divisible by the number (12) 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 124444346412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225740582034240).

124444346412672 is an abundant number, since it is smaller than the sum of its proper divisors (327036817655808).

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

124444346412672 is a wasteful number, since it uses less digits than its factorization.

124444346412672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68844 (or 68809 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 54.

The spelling of 124444346412672 in words is "one hundred twenty-four trillion, four hundred forty-four billion, three hundred forty-six million, four hundred twelve thousand, six hundred seventy-two".