456008789701 has 8 divisors (see below), whose sum is σ = 482843066904. Its totient is φ = 429175649280.

The previous prime is 456008789689. The next prime is 456008789707. The reversal of 456008789701 is 107987800654.

It can be written as a sum of positive squares in 4 ways, for example, as 32969117476 + 423039672225 = 181574^2 + 650415^2 .

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 456008789701 - 2⁷ = 456008789573 is a prime.

It is a super-3 number, since 3×456008789701³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456008789707) 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, 624781 + ... + 1141213.

It is an arithmetic number, because the mean of its divisors is an integer number (60355383363).

Almost surely, 2^456008789701 is an apocalyptic number.

It is an amenable number.

456008789701 is a deficient number, since it is larger than the sum of its proper divisors (26834277203).

456008789701 is a wasteful number, since it uses less digits than its factorization.

456008789701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568391.

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 456008789701 in words is "four hundred fifty-six billion, eight million, seven hundred eighty-nine thousand, seven hundred one".