124145521606656 has 2520 divisors, whose sum is σ = 449960940156672. Its totient is φ = 34054550323200.

The previous prime is 124145521606651. The next prime is 124145521606681. The reversal of 124145521606656 is 656606125541421.

It is a happy number.

124145521606656 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 4 + 5 + 5 + 21 + 606 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×124145521606656² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124145521606651) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 761628966831 + ... + 761628966993.

Almost surely, 2^{124145521606656} is an apocalyptic number.

124145521606656 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 124145521606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224980470078336).

124145521606656 is an abundant number, since it is smaller than the sum of its proper divisors (325815418550016).

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

124145521606656 is an equidigital number, since it uses as much as digits as its factorization.

124145521606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 124145521606656 in words is "one hundred twenty-four trillion, one hundred forty-five billion, five hundred twenty-one million, six hundred six thousand, six hundred fifty-six".