10142564114405 has 8 divisors (see below), whose sum is σ = 12171167871000. Its totient is φ = 8113990669056.

The previous prime is 10142564114383. The next prime is 10142564114411. The reversal of 10142564114405 is 50441146524101.

It can be written as a sum of positive squares in 4 ways, for example, as 28395957121 + 10114168157284 = 168511^2 + 3180278^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10142564114405 - 2¹² = 10142564110309 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6835040 + ... + 8185529.

It is an arithmetic number, because the mean of its divisors is an integer number (1521395983875).

Almost surely, 2^{10142564114405} is an apocalyptic number.

It is an amenable number.

10142564114405 is a deficient number, since it is larger than the sum of its proper divisors (2028603756595).

10142564114405 is a wasteful number, since it uses less digits than its factorization.

10142564114405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15155623.

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 10142564114405 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-four million, one hundred fourteen thousand, four hundred five".