88528381461 has 112 divisors (see below), whose sum is σ = 148726258800. Its totient is φ = 52296523776.

The previous prime is 88528381453. The next prime is 88528381463. The reversal of 88528381461 is 16418382588.

88528381461 is a `hidden beast` number, since 8 + 85 + 28 + 3 + 81 + 461 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7818980625 + 80709400836 = 88425^2 + 284094^2 .

It is not a de Polignac number, because 88528381461 - 2³ = 88528381453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 88528381398 and 88528381407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88528381463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 53041935 + ... + 53043603.

It is an arithmetic number, because the mean of its divisors is an integer number (1327913025).

Almost surely, 2^88528381461 is an apocalyptic number.

88528381461 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

88528381461 is a deficient number, since it is larger than the sum of its proper divisors (60197877339).

88528381461 is a wasteful number, since it uses less digits than its factorization.

88528381461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1907 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 88528381461 in words is "eighty-eight billion, five hundred twenty-eight million, three hundred eighty-one thousand, four hundred sixty-one".