126914775001 has 9 divisors (see below), whose sum is σ = 147638455551. Its totient is φ = 108781955352.

The previous prime is 126914774993. The next prime is 126914775011. The reversal of 126914775001 is 100577419621.

It is a happy number.

The square root of 126914775001 is 356251.

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., 124657225 + 126790117776 = 11165^2 + 356076^2 .

It is not a de Polignac number, because 126914775001 - 2³ = 126914774993 is a prime.

It is a super-2 number, since 2×126914775001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126914775011) 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, 2468311 + ... + 2519203.

It is an arithmetic number, because the mean of its divisors is an integer number (16404272839).

Almost surely, 2^126914775001 is an apocalyptic number.

126914775001 is the 356251-st square number.

126914775001 is the 178126-th centered octagonal number.

It is an amenable number.

126914775001 is a deficient number, since it is larger than the sum of its proper divisors (20723680550).

126914775001 is an frugal number, since it uses more digits than its factorization.

126914775001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101800 (or 50900 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 126914775001 in words is "one hundred twenty-six billion, nine hundred fourteen million, seven hundred seventy-five thousand, one".