126622267054336 has 81 divisors (see below), whose sum is σ = 254234522088001. Its totient is φ = 62941416261632.

The previous prime is 126622267054333. The next prime is 126622267054379. The reversal of 126622267054336 is 633450762226621.

The square root of 126622267054336 is 11252656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17942476052736 + 108679791001600 = 4235856^2 + 10424960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126622267054333) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32227604820 + ... + 32227608748.

Almost surely, 2^{126622267054336} is an apocalyptic number.

126622267054336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126622267054336 is the 11252656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126622267054336

126622267054336 is an abundant number, since it is smaller than the sum of its proper divisors (127612255033665).

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

126622267054336 is an frugal number, since it uses more digits than its factorization.

126622267054336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8232 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 55.

The spelling of 126622267054336 in words is "one hundred twenty-six trillion, six hundred twenty-two billion, two hundred sixty-seven million, fifty-four thousand, three hundred thirty-six".