2117468903004 has 432 divisors, whose sum is σ = 7103243137536. Its totient is φ = 516923700480.

The previous prime is 2117468902961. The next prime is 2117468903047. The reversal of 2117468903004 is 4003098647112.

2117468903004 is a `hidden beast` number, since 211 + 7 + 46 + 8 + 90 + 300 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2117468902961) and next prime (2117468903047).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72394807 + ... + 72424049.

It is an arithmetic number, because the mean of its divisors is an integer number (16442692448).

Almost surely, 2^{2117468903004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117468903004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551621568768).

2117468903004 is an abundant number, since it is smaller than the sum of its proper divisors (4985774234532).

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

2117468903004 is a wasteful number, since it uses less digits than its factorization.

2117468903004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29358 (or 29322 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2117468903004 in words is "two trillion, one hundred seventeen billion, four hundred sixty-eight million, nine hundred three thousand, four".