446457144160749 has 16 divisors (see below), whose sum is σ = 599208027068160. Its totient is φ = 295673066445120.

The previous prime is 446457144160691. The next prime is 446457144160793. The reversal of 446457144160749 is 947061441754644.

It is not a de Polignac number, because 446457144160749 - 2²⁹ = 446456607289837 is a prime.

It is a super-3 number, since 3×446457144160749³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 446457144160749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446457144160799) 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, 108956754 + ... + 112980035.

It is an arithmetic number, because the mean of its divisors is an integer number (37450501691760).

Almost surely, 2^{446457144160749} is an apocalyptic number.

It is an amenable number.

446457144160749 is a deficient number, since it is larger than the sum of its proper divisors (152750882907411).

446457144160749 is a wasteful number, since it uses less digits than its factorization.

446457144160749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221941220.

The product of its (nonzero) digits is 325140480, while the sum is 66.

The spelling of 446457144160749 in words is "four hundred forty-six trillion, four hundred fifty-seven billion, one hundred forty-four million, one hundred sixty thousand, seven hundred forty-nine".