1662135552 has 432 divisors, whose sum is σ = 6214021632. Its totient is φ = 430479360.

The previous prime is 1662135521. The next prime is 1662135569. The reversal of 1662135552 is 2555312661.

1662135552 is a `hidden beast` number, since 16 + 62 + 1 + 35 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

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, 4789843 + ... + 4790189.

Almost surely, 2^1662135552 is an apocalyptic number.

1662135552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1662135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107010816).

1662135552 is an abundant number, since it is smaller than the sum of its proper divisors (4551886080).

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

1662135552 is an equidigital number, since it uses as much as digits as its factorization.

1662135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 1662135552 is about 40769.2966826753. The cubic root of 1662135552 is about 1184.5556802410. Note that the first 3 decimals are identical.

The spelling of 1662135552 in words is "one billion, six hundred sixty-two million, one hundred thirty-five thousand, five hundred fifty-two".