126338291505 has 24 divisors (see below), whose sum is σ = 219099928320. Its totient is φ = 67345481760.

The previous prime is 126338291483. The next prime is 126338291507. The reversal of 126338291505 is 505192833621.

126338291505 is a `hidden beast` number, since 1 + 2 + 63 + 3 + 82 + 9 + 1 + 505 = 666.

It is not a de Polignac number, because 126338291505 - 2¹⁴ = 126338275121 is a prime.

It is a super-2 number, since 2×126338291505² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (126338291507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640065 + ... + 813854.

It is an arithmetic number, because the mean of its divisors is an integer number (9129163680).

Almost surely, 2^126338291505 is an apocalyptic number.

126338291505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126338291505 is a deficient number, since it is larger than the sum of its proper divisors (92761636815).

126338291505 is a wasteful number, since it uses less digits than its factorization.

126338291505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455861 (or 1455858 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 126338291505 in words is "one hundred twenty-six billion, three hundred thirty-eight million, two hundred ninety-one thousand, five hundred five".