3418199563072 has 112 divisors (see below), whose sum is σ = 7768662225408. Its totient is φ = 1461795287040.

The previous prime is 3418199563067. The next prime is 3418199563111. The reversal of 3418199563072 is 2703659918143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3418199563072² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3418199562998 and 3418199563016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471667353 + ... + 471674599.

It is an arithmetic number, because the mean of its divisors is an integer number (69363055584).

It is a 1-persistent number, because it is pandigital, but 2⋅3418199563072 = 6836399126144 is not.

Almost surely, 2^{3418199563072} is an apocalyptic number.

3418199563072 is a gapful number since it is divisible by the number (32) 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 3418199563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884331112704).

3418199563072 is an abundant number, since it is smaller than the sum of its proper divisors (4350462662336).

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

3418199563072 is a wasteful number, since it uses less digits than its factorization.

3418199563072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9374 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 3418199563072 in words is "three trillion, four hundred eighteen billion, one hundred ninety-nine million, five hundred sixty-three thousand, seventy-two".