126864904761 has 45 divisors (see below), whose sum is σ = 213866402789. Its totient is φ = 72464312088.

The previous prime is 126864904759. The next prime is 126864904763. The reversal of 126864904761 is 167409468621.

The square root of 126864904761 is 356181.

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

126864904761 is a `hidden beast` number, since 1 + 2 + 6 + 86 + 4 + 90 + 476 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (126864904759) and next prime (126864904763).

It is not a de Polignac number, because 126864904761 - 2¹ = 126864904759 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126864904698 and 126864904707.

It is not an unprimeable number, because it can be changed into a prime (126864904763) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52357396 + ... + 52359818.

Almost surely, 2^126864904761 is an apocalyptic number.

126864904761 is the 356181-st square number.

126864904761 is the 178091-st centered octagonal number.

It is an amenable number.

126864904761 is a deficient number, since it is larger than the sum of its proper divisors (87001498028).

126864904761 is an frugal number, since it uses more digits than its factorization.

126864904761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 126864904761 in words is "one hundred twenty-six billion, eight hundred sixty-four million, nine hundred four thousand, seven hundred sixty-one".