1612218564 has 144 divisors (see below), whose sum is σ = 4601076480. Its totient is φ = 471744000.

The previous prime is 1612218551. The next prime is 1612218577. The reversal of 1612218564 is 4658122161.

It is a happy number.

1612218564 is a `hidden beast` number, since 1 + 61 + 22 + 18 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (1612218551) and next prime (1612218577).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1769269 + ... + 1770179.

It is an arithmetic number, because the mean of its divisors is an integer number (31951920).

Almost surely, 2^1612218564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1612218564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300538240).

1612218564 is an abundant number, since it is smaller than the sum of its proper divisors (2988857916).

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

1612218564 is a wasteful number, since it uses less digits than its factorization.

1612218564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1077 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1612218564 is about 40152.4415695982. The cubic root of 1612218564 is about 1172.5768233435.

The spelling of 1612218564 in words is "one billion, six hundred twelve million, two hundred eighteen thousand, five hundred sixty-four".