4112656900 has 135 divisors (see below), whose sum is σ = 10005569455. Its totient is φ = 1467294400.

The previous prime is 4112656897. The next prime is 4112656903. The reversal of 4112656900 is 96562114.

The square root of 4112656900 is 64130.

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

It is an interprime number because it is at equal distance from previous prime (4112656897) and next prime (4112656903).

It can be written as a sum of positive squares in 4 ways, for example, as 30980356 + 4081676544 = 5566^2 + 63888^2 .

It is a super-2 number, since 2×4112656900² = 33827893554235220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4112656903) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 77597274 + ... + 77597326.

Almost surely, 2^4112656900 is an apocalyptic number.

4112656900 is the 64130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112656900

4112656900 is an abundant number, since it is smaller than the sum of its proper divisors (5892912555).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4112656900 is an equidigital number, since it uses as much as digits as its factorization.

4112656900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 4112656900 is about 1602.1659338211.

The spelling of 4112656900 in words is "four billion, one hundred twelve million, six hundred fifty-six thousand, nine hundred".