88946501121 has 27 divisors (see below), whose sum is σ = 130054507401. Its totient is φ = 58578911424.

The previous prime is 88946501113. The next prime is 88946501129. The reversal of 88946501121 is 12110564988.

It is a happy number.

The square root of 88946501121 is 298239.

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

88946501121 is a `hidden beast` number, since 8 + 89 + 46 + 501 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (88946501113) and next prime (88946501129).

It can be written as a sum of positive squares in 4 ways, for example, as 55030122225 + 33916378896 = 234585^2 + 184164^2 .

It is not a de Polignac number, because 88946501121 - 2³ = 88946501113 is a prime.

It is a super-2 number, since 2×88946501121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88946501129) 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 26 ways as a sum of consecutive naturals, for example, 79629255 + ... + 79630371.

Almost surely, 2^88946501121 is an apocalyptic number.

88946501121 is the 298239-th square number.

88946501121 is the 149120-th centered octagonal number.

It is an amenable number.

88946501121 is a deficient number, since it is larger than the sum of its proper divisors (41108006280).

88946501121 is an frugal number, since it uses more digits than its factorization.

88946501121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 88946501121 in words is "eighty-eight billion, nine hundred forty-six million, five hundred one thousand, one hundred twenty-one".