46716721753 has 16 divisors (see below), whose sum is σ = 50804698896. Its totient is φ = 42700953600.

The previous prime is 46716721739. The next prime is 46716721757. The reversal of 46716721753 is 35712761764.

It can be written as a sum of positive squares in 8 ways, for example, as 193682889 + 46523038864 = 13917^2 + 215692^2 .

It is a cyclic number.

It is not a de Polignac number, because 46716721753 - 2⁵ = 46716721721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46716721697 and 46716721706.

It is not an unprimeable number, because it can be changed into a prime (46716721757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681475 + ... + 746887.

It is an arithmetic number, because the mean of its divisors is an integer number (3175293681).

Almost surely, 2^46716721753 is an apocalyptic number.

It is an amenable number.

46716721753 is a deficient number, since it is larger than the sum of its proper divisors (4087977143).

46716721753 is a wasteful number, since it uses less digits than its factorization.

46716721753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65964.

The product of its digits is 1481760, while the sum is 49.

The spelling of 46716721753 in words is "forty-six billion, seven hundred sixteen million, seven hundred twenty-one thousand, seven hundred fifty-three".