126617580648 has 320 divisors, whose sum is σ = 405259008000. Its totient is φ = 36612269568.

The previous prime is 126617580631. The next prime is 126617580653. The reversal of 126617580648 is 846085716621.

126617580648 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 17 + 580 + 6 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126617580594 and 126617580603.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20323998 + ... + 20330226.

It is an arithmetic number, because the mean of its divisors is an integer number (1266434400).

Almost surely, 2^126617580648 is an apocalyptic number.

126617580648 is a gapful number since it is divisible by the number (18) 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 126617580648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202629504000).

126617580648 is an abundant number, since it is smaller than the sum of its proper divisors (278641427352).

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

126617580648 is a wasteful number, since it uses less digits than its factorization.

126617580648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 126617580648 in words is "one hundred twenty-six billion, six hundred seventeen million, five hundred eighty thousand, six hundred forty-eight".