126645673660416 has 117 divisors (see below), whose sum is σ = 365826859568989. Its totient is φ = 42214504316928.

The previous prime is 126645673660399. The next prime is 126645673660427. The reversal of 126645673660416 is 614066376546621.

The square root of 126645673660416 is 11253696.

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

126645673660416 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 4 + 5 + 6 + 7 + 3 + 6 + 604 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126222528614400 + 423145046016 = 11234880^2 + 650496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2160680326 + ... + 2160738938.

Almost surely, 2^{126645673660416} is an apocalyptic number.

126645673660416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126645673660416 is the 11253696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126645673660416

126645673660416 is an abundant number, since it is smaller than the sum of its proper divisors (239181185908573).

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

126645673660416 is an frugal number, since it uses more digits than its factorization.

126645673660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117256 (or 58618 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

It can be divided in two parts, 126645673 and 660416, that added together give a square (127306089 = 11283²).

The spelling of 126645673660416 in words is "one hundred twenty-six trillion, six hundred forty-five billion, six hundred seventy-three million, six hundred sixty thousand, four hundred sixteen".