456111101 has 8 divisors (see below), whose sum is σ = 483348600. Its totient is φ = 429640960.

The previous prime is 456111083. The next prime is 456111107. The reversal of 456111101 is 101111654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24552025 + 431559076 = 4955^2 + 20774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456111101 - 2¹⁸ = 455848957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456111107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190616 + ... + 192993.

It is an arithmetic number, because the mean of its divisors is an integer number (60418575).

Almost surely, 2^456111101 is an apocalyptic number.

456111101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

456111101 is a deficient number, since it is larger than the sum of its proper divisors (27237499).

456111101 is a wasteful number, since it uses less digits than its factorization.

456111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383679.

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 456111101 is about 21356.7577361359. The cubic root of 456111101 is about 769.7627317530.

Adding to 456111101 its reverse (101111654), we get a palindrome (557222755).

The spelling of 456111101 in words is "four hundred fifty-six million, one hundred eleven thousand, one hundred one".