164752257461 has 8 divisors (see below), whose sum is σ = 180025837824. Its totient is φ = 149528027520.

The previous prime is 164752257391. The next prime is 164752257473.

It is a happy number.

164752257461 is nontrivially palindromic in base 10.

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 164752257461 - 2²² = 164748063157 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 (164752257961) 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, 12330620 + ... + 12343973.

It is an arithmetic number, because the mean of its divisors is an integer number (22503229728).

Almost surely, 2^164752257461 is an apocalyptic number.

164752257461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164752257461 is a deficient number, since it is larger than the sum of its proper divisors (15273580363).

164752257461 is a wasteful number, since it uses less digits than its factorization.

164752257461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24675211.

The product of its digits is 2822400, while the sum is 50.

The spelling of 164752257461 in words is "one hundred sixty-four billion, seven hundred fifty-two million, two hundred fifty-seven thousand, four hundred sixty-one".