3416132054016 has 352 divisors, whose sum is σ = 11069733192960. Its totient is φ = 1032088780800.

The previous prime is 3416132054003. The next prime is 3416132054029. The reversal of 3416132054016 is 6104502316143.

3416132054016 is a `hidden beast` number, since 3 + 4 + 1 + 613 + 20 + 5 + 4 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (3416132054003) and next prime (3416132054029).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×3416132054016³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 102474471 + ... + 102507801.

Almost surely, 2^{3416132054016} is an apocalyptic number.

3416132054016 is a gapful number since it is divisible by the number (36) 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 3416132054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534866596480).

3416132054016 is an abundant number, since it is smaller than the sum of its proper divisors (7653601138944).

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

3416132054016 is a wasteful number, since it uses less digits than its factorization.

3416132054016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33708 (or 33684 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3416132054016 in words is "three trillion, four hundred sixteen billion, one hundred thirty-two million, fifty-four thousand, sixteen".