148231160064 has 243 divisors, whose sum is σ = 463543099383. Its totient is φ = 45535666176.

The previous prime is 148231160059. The next prime is 148231160071. The reversal of 148231160064 is 460061132841.

The square root of 148231160064 is 385008.

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

148231160064 is a `hidden beast` number, since 1 + 48 + 2 + 3 + 1 + 1 + 600 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105630200064 + 42600960000 = 325008^2 + 206400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240244684 + ... + 240245300.

Almost surely, 2^148231160064 is an apocalyptic number.

148231160064 is the 385008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148231160064

148231160064 is an abundant number, since it is smaller than the sum of its proper divisors (315311939319).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148231160064 is an frugal number, since it uses more digits than its factorization.

148231160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 148231160064 by its sum of digits (36), we get a square (5336321762304 = 2310048²).

148231160064 divided by its sum of digits (36) gives a square (4117532224 = 64168²).

The spelling of 148231160064 in words is "one hundred forty-eight billion, two hundred thirty-one million, one hundred sixty thousand, sixty-four".