10142414116245 has 24 divisors (see below), whose sum is σ = 17754245708472. Its totient is φ = 5355730224000.

The previous prime is 10142414116223. The next prime is 10142414116277. The reversal of 10142414116245 is 54261141424101.

10142414116245 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 4 + 14 + 11 + 624 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1594456747524 + 8547957368721 = 1262718^2 + 2923689^2 .

It is not a de Polignac number, because 10142414116245 - 2⁶ = 10142414116181 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1115772586 + ... + 1115781675.

It is an arithmetic number, because the mean of its divisors is an integer number (739760237853).

Almost surely, 2^{10142414116245} is an apocalyptic number.

10142414116245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10142414116245 is a deficient number, since it is larger than the sum of its proper divisors (7611831592227).

10142414116245 is a wasteful number, since it uses less digits than its factorization.

10142414116245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231554373 (or 2231554370 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10142414116245 in words is "ten trillion, one hundred forty-two billion, four hundred fourteen million, one hundred sixteen thousand, two hundred forty-five".