10145204655534 has 96 divisors (see below), whose sum is σ = 23950678961664. Its totient is φ = 3084995108160.

The previous prime is 10145204655533. The next prime is 10145204655569. The reversal of 10145204655534 is 43555640254101.

10145204655534 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 20 + 46 + 55 + 534 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10145204655534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145204655533) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11405439 + ... + 12262725.

It is an arithmetic number, because the mean of its divisors is an integer number (249486239184).

Almost surely, 2^{10145204655534} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145204655534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975339480832).

10145204655534 is an abundant number, since it is smaller than the sum of its proper divisors (13805474306130).

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

10145204655534 is a wasteful number, since it uses less digits than its factorization.

10145204655534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857902 (or 857899 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 10145204655534 in words is "ten trillion, one hundred forty-five billion, two hundred four million, six hundred fifty-five thousand, five hundred thirty-four".