126428947461 has 24 divisors (see below), whose sum is σ = 183330760704. Its totient is φ = 83957908320.

The previous prime is 126428947429. The next prime is 126428947511. The reversal of 126428947461 is 164749824621.

126428947461 is a `hidden beast` number, since 1 + 2 + 6 + 428 + 94 + 74 + 61 = 666.

It is not a de Polignac number, because 126428947461 - 2⁵ = 126428947429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126428947398 and 126428947407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126428940461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15629560 + ... + 15637646.

It is an arithmetic number, because the mean of its divisors is an integer number (7638781696).

Almost surely, 2^126428947461 is an apocalyptic number.

It is an amenable number.

126428947461 is a deficient number, since it is larger than the sum of its proper divisors (56901813243).

126428947461 is a wasteful number, since it uses less digits than its factorization.

126428947461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14641 (or 14638 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 126428947461 in words is "one hundred twenty-six billion, four hundred twenty-eight million, nine hundred forty-seven thousand, four hundred sixty-one".