126345553950258 has 24 divisors (see below), whose sum is σ = 288156526554000. Its totient is φ = 39898595984184.

The previous prime is 126345553950247. The next prime is 126345553950269. The reversal of 126345553950258 is 852059355543621.

126345553950258 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 4 + 5 + 553 + 9 + 50 + 25 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (126345553950247) and next prime (126345553950269).

It is a junction number, because it is equal to n+sod(n) for n = 126345553950195 and 126345553950204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184715721808 + ... + 184715722491.

It is an arithmetic number, because the mean of its divisors is an integer number (12006521939750).

Almost surely, 2^{126345553950258} is an apocalyptic number.

126345553950258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

126345553950258 is an abundant number, since it is smaller than the sum of its proper divisors (161810972603742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126345553950258 is a wasteful number, since it uses less digits than its factorization.

126345553950258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369431444326 (or 369431444323 counting only the distinct ones).

The product of its (nonzero) digits is 194400000, while the sum is 63.

The spelling of 126345553950258 in words is "one hundred twenty-six trillion, three hundred forty-five billion, five hundred fifty-three million, nine hundred fifty thousand, two hundred fifty-eight".