4081657001645 has 32 divisors (see below), whose sum is σ = 5198029135200. Its totient is φ = 3066187309056.

The previous prime is 4081657001641. The next prime is 4081657001657. The reversal of 4081657001645 is 5461007561804.

It can be written as a sum of positive squares in 16 ways, for example, as 1649513823556 + 2432143178089 = 1284334^2 + 1559533^2 .

It is a cyclic number.

It is not a de Polignac number, because 4081657001645 - 2² = 4081657001641 is a prime.

It is a super-3 number, since 3×4081657001645³ (a number of 39 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 4081657001645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081657001641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98883071 + ... + 98924339.

It is an arithmetic number, because the mean of its divisors is an integer number (162438410475).

Almost surely, 2^{4081657001645} is an apocalyptic number.

It is an amenable number.

4081657001645 is a deficient number, since it is larger than the sum of its proper divisors (1116372133555).

4081657001645 is a wasteful number, since it uses less digits than its factorization.

4081657001645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43937.

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 4081657001645 in words is "four trillion, eighty-one billion, six hundred fifty-seven million, one thousand, six hundred forty-five".