20344965467904 has 2592 divisors, whose sum is σ = 81404754762240. Its totient is φ = 5018543308800.

The previous prime is 20344965467903. The next prime is 20344965467929. The reversal of 20344965467904 is 40976456944302.

20344965467904 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 496 + 54 + 6 + 7 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344965467903) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 333524024034 + ... + 333524024094.

Almost surely, 2^{20344965467904} is an apocalyptic number.

20344965467904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344965467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40702377381120).

20344965467904 is an abundant number, since it is smaller than the sum of its proper divisors (61059789294336).

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

20344965467904 is an frugal number, since it uses more digits than its factorization.

20344965467904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 20344965467904 in words is "twenty trillion, three hundred forty-four billion, nine hundred sixty-five million, four hundred sixty-seven thousand, nine hundred four".