10414512315054 has 48 divisors (see below), whose sum is σ = 22654699254720. Its totient is φ = 3457672396800.

The previous prime is 10414512314993. The next prime is 10414512315149. The reversal of 10414512315054 is 45051321541401.

10414512315054 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 451 + 2 + 3 + 150 + 54 = 666.

It is a super-2 number, since 2×10414512315054² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52076854 + ... + 52276454.

It is an arithmetic number, because the mean of its divisors is an integer number (471972901140).

Almost surely, 2^{10414512315054} is an apocalyptic number.

10414512315054 is an abundant number, since it is smaller than the sum of its proper divisors (12240186939666).

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

10414512315054 is a wasteful number, since it uses less digits than its factorization.

10414512315054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211145 (or 211142 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 10414512315054 its reverse (45051321541401), we get a palindrome (55465833856455).

The spelling of 10414512315054 in words is "ten trillion, four hundred fourteen billion, five hundred twelve million, three hundred fifteen thousand, fifty-four".