85703148001 has 9 divisors (see below), whose sum is σ = 86268625491. Its totient is φ = 85141358832.

The previous prime is 85703147993. The next prime is 85703148007. The reversal of 85703148001 is 10084130758.

The square root of 85703148001 is 292751.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2427040225 + 83276107776 = 49265^2 + 288576^2 .

It is not a de Polignac number, because 85703148001 - 2³ = 85703147993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85703148007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48888541 + ... + 48890293.

Almost surely, 2^85703148001 is an apocalyptic number.

85703148001 is the 292751-st square number.

85703148001 is the 146376-th centered octagonal number.

It is an amenable number.

85703148001 is a deficient number, since it is larger than the sum of its proper divisors (565477490).

85703148001 is an frugal number, since it uses more digits than its factorization.

85703148001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

Adding to 85703148001 its reverse (10084130758), we get a palindrome (95787278759).

The spelling of 85703148001 in words is "eighty-five billion, seven hundred three million, one hundred forty-eight thousand, one".