10004341135464 has 96 divisors (see below), whose sum is σ = 29182690391400. Its totient is φ = 3077904130560.

The previous prime is 10004341135381. The next prime is 10004341135471. The reversal of 10004341135464 is 46453114340001.

10004341135464 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 434 + 113 + 54 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8452149078564 + 1552192056900 = 2907258^2 + 1245870^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7570182 + ... + 8792970.

Almost surely, 2^{10004341135464} is an apocalyptic number.

It is an amenable number.

10004341135464 is an abundant number, since it is smaller than the sum of its proper divisors (19178349255936).

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

10004341135464 is a wasteful number, since it uses less digits than its factorization.

10004341135464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231555 (or 1231548 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10004341135464 its reverse (46453114340001), we get a palindrome (56457455475465).

The spelling of 10004341135464 in words is "ten trillion, four billion, three hundred forty-one million, one hundred thirty-five thousand, four hundred sixty-four".