148193431681 has 9 divisors (see below), whose sum is σ = 156411313923. Its totient is φ = 140386848120.

The previous prime is 148193431669. The next prime is 148193431691. The reversal of 148193431681 is 186134391841.

The square root of 148193431681 is 384959.

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., 1764756081 + 146428675600 = 42009^2 + 382660^2 .

It is not a de Polignac number, because 148193431681 - 2⁷ = 148193431553 is a prime.

It is a super-2 number, since 2×148193431681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148193431691) 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, 7304091 + ... + 7324351.

Almost surely, 2^148193431681 is an apocalyptic number.

148193431681 is the 384959-th square number.

148193431681 is the 192480-th centered octagonal number.

It is an amenable number.

148193431681 is a deficient number, since it is larger than the sum of its proper divisors (8217882242).

148193431681 is an frugal number, since it uses more digits than its factorization.

148193431681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40560 (or 20280 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

Multiplying 148193431681 by its sum of digits (49), we get a square (7261478152369 = 2694713²).

The spelling of 148193431681 in words is "one hundred forty-eight billion, one hundred ninety-three million, four hundred thirty-one thousand, six hundred eighty-one".