4164656631 has 32 divisors (see below), whose sum is σ = 5849807040. Its totient is φ = 2632780800.

The previous prime is 4164656603. The next prime is 4164656641. The reversal of 4164656631 is 1366564614.

It is not a de Polignac number, because 4164656631 - 2⁶ = 4164656567 is a prime.

It is a super-2 number, since 2×4164656631² = 34688729708264540322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164656641) 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, 707641 + ... + 713501.

It is an arithmetic number, because the mean of its divisors is an integer number (182806470).

Almost surely, 2^4164656631 is an apocalyptic number.

4164656631 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4164656631 is a deficient number, since it is larger than the sum of its proper divisors (1685150409).

4164656631 is a wasteful number, since it uses less digits than its factorization.

4164656631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067.

The product of its digits is 311040, while the sum is 42.

The square root of 4164656631 is about 64534.1508892772. The cubic root of 4164656631 is about 1608.8901769764.

The spelling of 4164656631 in words is "four billion, one hundred sixty-four million, six hundred fifty-six thousand, six hundred thirty-one".