5214161417472 has 1152 divisors, whose sum is σ = 19348471296000. Its totient is φ = 1351376732160.

The previous prime is 5214161417447. The next prime is 5214161417473. The reversal of 5214161417472 is 2747141614125.

It is a happy number.

5214161417472 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 161 + 4 + 17 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214161417473) 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 127 ways as a sum of consecutive naturals, for example, 3492404758 + ... + 3492406250.

It is an arithmetic number, because the mean of its divisors is an integer number (16795548000).

Almost surely, 2^{5214161417472} 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 5214161417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674235648000).

5214161417472 is an abundant number, since it is smaller than the sum of its proper divisors (14134309878528).

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

5214161417472 is a wasteful number, since it uses less digits than its factorization.

5214161417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1684 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 5214161417472 in words is "five trillion, two hundred fourteen billion, one hundred sixty-one million, four hundred seventeen thousand, four hundred seventy-two".