11456434624404 has 96 divisors (see below), whose sum is σ = 33370159850496. Its totient is φ = 2971916052480.

The previous prime is 11456434624333. The next prime is 11456434624433. The reversal of 11456434624404 is 40442643465411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7150029 + ... + 8604404.

It is an arithmetic number, because the mean of its divisors is an integer number (347605831776).

Almost surely, 2^{11456434624404} is an apocalyptic number.

11456434624404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11456434624404 is an abundant number, since it is smaller than the sum of its proper divisors (21913725226092).

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

11456434624404 is a wasteful number, since it uses less digits than its factorization.

11456434624404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15755245 (or 15755243 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 11456434624404 in words is "eleven trillion, four hundred fifty-six billion, four hundred thirty-four million, six hundred twenty-four thousand, four hundred four".