1662612361164 has 216 divisors, whose sum is σ = 4427848152000. Its totient is φ = 525696837120.

The previous prime is 1662612361147. The next prime is 1662612361217. The reversal of 1662612361164 is 4611632162661.

1662612361164 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 6 + 1 + 23 + 611 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 652259362 + ... + 652261910.

It is an arithmetic number, because the mean of its divisors is an integer number (20499297000).

Almost surely, 2^{1662612361164} 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 1662612361164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213924076000).

1662612361164 is an abundant number, since it is smaller than the sum of its proper divisors (2765235790836).

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

1662612361164 is a wasteful number, since it uses less digits than its factorization.

1662612361164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2877 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 1662612361164 in words is "one trillion, six hundred sixty-two billion, six hundred twelve million, three hundred sixty-one thousand, one hundred sixty-four".