87148353681 has 15 divisors (see below), whose sum is σ = 130188546763. Its totient is φ = 58097131200.

The previous prime is 87148353667. The next prime is 87148353701. The reversal of 87148353681 is 18635384178.

It is a happy number.

The square root of 87148353681 is 295209.

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

87148353681 is a `hidden beast` number, since 87 + 1 + 483 + 5 + 3 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13273113681 + 73875240000 = 115209^2 + 271800^2 .

It is not a de Polignac number, because 87148353681 - 2²¹ = 87146256529 is a prime.

It is a super-2 number, since 2×87148353681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87148353881) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2640481 + ... + 2673281.

Almost surely, 2^87148353681 is an apocalyptic number.

87148353681 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

87148353681 is the 295209-th square number.

87148353681 is the 147605-th centered octagonal number.

It is an amenable number.

87148353681 is a deficient number, since it is larger than the sum of its proper divisors (43040193082).

87148353681 is an frugal number, since it uses more digits than its factorization.

87148353681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65614 (or 32804 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 87148353681 in words is "eighty-seven billion, one hundred forty-eight million, three hundred fifty-three thousand, six hundred eighty-one".