20044000464345 has 576 divisors, whose sum is σ = 43596674634240. Its totient is φ = 8386998681600.

The previous prime is 20044000464277. The next prime is 20044000464377. The reversal of 20044000464345 is 54346400044002.

20044000464345 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 0 + 0 + 0 + 4 + 643 + 4 + 5 = 666.

It is not a de Polignac number, because 20044000464345 - 2¹³ = 20044000456153 is a prime.

It is a super-2 number, since 2×20044000464345² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 59477746017 + ... + 59477746353.

It is an arithmetic number, because the mean of its divisors is an integer number (75688671240).

Almost surely, 2^{20044000464345} is an apocalyptic number.

It is an amenable number.

20044000464345 is an abundant number, since it is smaller than the sum of its proper divisors (23552674169895).

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

20044000464345 is a wasteful number, since it uses less digits than its factorization.

20044000464345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 20044000464345 in words is "twenty trillion, forty-four billion, four hundred sixty-four thousand, three hundred forty-five".