10004144345055 has 48 divisors (see below), whose sum is σ = 20068590996480. Its totient is φ = 4515432951744.

The previous prime is 10004144345021. The next prime is 10004144345077. The reversal of 10004144345055 is 55054344140001.

10004144345055 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 144 + 3 + 4 + 505 + 5 = 666.

It is not a de Polignac number, because 10004144345055 - 2⁹ = 10004144344543 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200982637 + ... + 201032406.

It is an arithmetic number, because the mean of its divisors is an integer number (418095645760).

Almost surely, 2^{10004144345055} is an apocalyptic number.

10004144345055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10004144345055 is an abundant number, since it is smaller than the sum of its proper divisors (10064446651425).

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

10004144345055 is a wasteful number, since it uses less digits than its factorization.

10004144345055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402015140 (or 402015137 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 10004144345055 its reverse (55054344140001), we get a palindrome (65058488485056).

The spelling of 10004144345055 in words is "ten trillion, four billion, one hundred forty-four million, three hundred forty-five thousand, fifty-five".