518956416 has 384 divisors, whose sum is σ = 1806991200. Its totient is φ = 145981440.

The previous prime is 518956409. The next prime is 518956423. The reversal of 518956416 is 614659815.

518956416 is a `hidden beast` number, since 5 + 1 + 89 + 564 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (518956409) and next prime (518956423).

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (259200) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7108956 + ... + 7109028.

Almost surely, 2^518956416 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 518956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903495600).

518956416 is an abundant number, since it is smaller than the sum of its proper divisors (1288034784).

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

518956416 is a wasteful number, since it uses less digits than its factorization.

518956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 518956416 is about 22780.6149170737. The cubic root of 518956416 is about 803.6068472109.

It can be divided in two parts, 51895 and 6416, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 518956416 in words is "five hundred eighteen million, nine hundred fifty-six thousand, four hundred sixteen".