126406456561 has 32 divisors (see below), whose sum is σ = 162727428096. Its totient is φ = 95294232000.

The previous prime is 126406456531. The next prime is 126406456567. The reversal of 126406456561 is 165654604621.

It is not a de Polignac number, because 126406456561 - 2¹³ = 126406448369 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126406456567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13703931 + ... + 13713151.

It is an arithmetic number, because the mean of its divisors is an integer number (5085232128).

Almost surely, 2^126406456561 is an apocalyptic number.

126406456561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126406456561 is a deficient number, since it is larger than the sum of its proper divisors (36320971535).

126406456561 is a wasteful number, since it uses less digits than its factorization.

126406456561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15013.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 126406456561 in words is "one hundred twenty-six billion, four hundred six million, four hundred fifty-six thousand, five hundred sixty-one".