412518218625 has 96 divisors (see below), whose sum is σ = 762822627840. Its totient is φ = 214373836800.

The previous prime is 412518218621. The next prime is 412518218633. The reversal of 412518218625 is 526812815214.

412518218625 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 1 + 8 + 2 + 18 + 625 = 666.

It is not a de Polignac number, because 412518218625 - 2² = 412518218621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (412518218621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11985441 + ... + 12019809.

It is an arithmetic number, because the mean of its divisors is an integer number (7946069040).

Almost surely, 2^412518218625 is an apocalyptic number.

412518218625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412518218625 is a deficient number, since it is larger than the sum of its proper divisors (350304409215).

412518218625 is a wasteful number, since it uses less digits than its factorization.

412518218625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34664 (or 34651 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

It can be divided in two parts, 41251 and 8218625, that added together give a square (8259876 = 2874²).

The spelling of 412518218625 in words is "four hundred twelve billion, five hundred eighteen million, two hundred eighteen thousand, six hundred twenty-five".