88225031853 has 48 divisors (see below), whose sum is σ = 147469271040. Its totient is φ = 49782161952.

The previous prime is 88225031831. The next prime is 88225031863. The reversal of 88225031853 is 35813052288.

88225031853 is a `hidden beast` number, since 8 + 82 + 2 + 503 + 18 + 53 = 666.

It is not a de Polignac number, because 88225031853 - 2⁹ = 88225031341 is a prime.

It is a super-2 number, since 2×88225031853² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88225031799 and 88225031808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88225031863) 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 47 ways as a sum of consecutive naturals, for example, 17561700 + ... + 17566722.

It is an arithmetic number, because the mean of its divisors is an integer number (3072276480).

Almost surely, 2^88225031853 is an apocalyptic number.

88225031853 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

88225031853 is a deficient number, since it is larger than the sum of its proper divisors (59244239187).

88225031853 is a wasteful number, since it uses less digits than its factorization.

88225031853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 88225031853 in words is "eighty-eight billion, two hundred twenty-five million, thirty-one thousand, eight hundred fifty-three".