126754478218368 has 1024 divisors, whose sum is σ = 510804693504000. Its totient is φ = 29875539640320.

The previous prime is 126754478218363. The next prime is 126754478218399. The reversal of 126754478218368 is 863812874457621.

126754478218368 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 5 + 4 + 47 + 8 + 218 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 126754478218296 and 126754478218305.

It is not an unprimeable number, because it can be changed into a prime (126754478218363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203797396 + ... + 204418412.

It is an arithmetic number, because the mean of its divisors is an integer number (498832708500).

Almost surely, 2^{126754478218368} is an apocalyptic number.

126754478218368 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 126754478218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255402346752000).

126754478218368 is an abundant number, since it is smaller than the sum of its proper divisors (384050215285632).

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

126754478218368 is a wasteful number, since it uses less digits than its factorization.

126754478218368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621130 (or 621112 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 126754478218368 in words is "one hundred twenty-six trillion, seven hundred fifty-four billion, four hundred seventy-eight million, two hundred eighteen thousand, three hundred sixty-eight".