10406165514534 has 48 divisors (see below), whose sum is σ = 22884190318080. Its totient is φ = 3416803449840.

The previous prime is 10406165514529. The next prime is 10406165514557. The reversal of 10406165514534 is 43541556160401.

10406165514534 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 1 + 65 + 51 + 4 + 534 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10406165514534.

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, 30015027 + ... + 30359745.

It is an arithmetic number, because the mean of its divisors is an integer number (476753964960).

Almost surely, 2^{10406165514534} is an apocalyptic number.

10406165514534 is an abundant number, since it is smaller than the sum of its proper divisors (12478024803546).

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

10406165514534 is a wasteful number, since it uses less digits than its factorization.

10406165514534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369825 (or 369822 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 10406165514534 in words is "ten trillion, four hundred six billion, one hundred sixty-five million, five hundred fourteen thousand, five hundred thirty-four".