126227613946896 has 1280 divisors, whose sum is σ = 491359941427200. Its totient is φ = 30026831155200.

The previous prime is 126227613946859. The next prime is 126227613946939. The reversal of 126227613946896 is 698649316722621.

126227613946896 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 2 + 76 + 1 + 3 + 9 + 468 + 96 = 666.

It is a super-2 number, since 2×126227613946896² (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 22002370140 + ... + 22002375876.

It is an arithmetic number, because the mean of its divisors is an integer number (383874954240).

Almost surely, 2^{126227613946896} is an apocalyptic number.

126227613946896 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 126227613946896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245679970713600).

126227613946896 is an abundant number, since it is smaller than the sum of its proper divisors (365132327480304).

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

126227613946896 is a wasteful number, since it uses less digits than its factorization.

126227613946896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6933 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 126227613946896 in words is "one hundred twenty-six trillion, two hundred twenty-seven billion, six hundred thirteen million, nine hundred forty-six thousand, eight hundred ninety-six".