73376400647153 has 2 divisors, whose sum is σ = 73376400647154. Its totient is φ = 73376400647152.

The previous prime is 73376400647117. The next prime is 73376400647213. The reversal of 73376400647153 is 35174600467337.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73049636360464 + 326764286689 = 8546908^2 + 571633^2 .

It is an emirp because it is prime and its reverse (35174600467337) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73376400647153 - 2³⁰ = 73375326905329 is a prime.

It is a super-3 number, since 3×73376400647153³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (73376400641153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36688200323576 + 36688200323577.

It is an arithmetic number, because the mean of its divisors is an integer number (36688200323577).

Almost surely, 2^{73376400647153} is an apocalyptic number.

It is an amenable number.

73376400647153 is a deficient number, since it is larger than the sum of its proper divisors (1).

73376400647153 is an equidigital number, since it uses as much as digits as its factorization.

73376400647153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26671680, while the sum is 56.

The spelling of 73376400647153 in words is "seventy-three trillion, three hundred seventy-six billion, four hundred million, six hundred forty-seven thousand, one hundred fifty-three".