73186382449216 has 21 divisors (see below), whose sum is σ = 145229363481891. Its totient is φ = 36593157004992.

The previous prime is 73186382449153. The next prime is 73186382449249. The reversal of 73186382449216 is 61294428368137.

The square root of 73186382449216 is 8554904.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 67904551 + ... + 68973913.

Almost surely, 2^{73186382449216} is an apocalyptic number.

73186382449216 is the 8554904-th square number.

It is an amenable number.

73186382449216 is a deficient number, since it is larger than the sum of its proper divisors (72042981032675).

73186382449216 is an frugal number, since it uses more digits than its factorization.

73186382449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138738 (or 1069365 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 64.

73186382449216 divided by its sum of digits (64) gives a square (1143537225769 = 1069363²).

The spelling of 73186382449216 in words is "seventy-three trillion, one hundred eighty-six billion, three hundred eighty-two million, four hundred forty-nine thousand, two hundred sixteen".