1664151552 has 156 divisors (see below), whose sum is σ = 5494522800. Its totient is φ = 475398144.

The previous prime is 1664151551. The next prime is 1664151569. The reversal of 1664151552 is 2551514661.

1664151552 is a `hidden beast` number, since 1 + 6 + 641 + 5 + 1 + 5 + 5 + 2 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664151551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254824 + ... + 261272.

It is an arithmetic number, because the mean of its divisors is an integer number (35221300).

Almost surely, 2^1664151552 is an apocalyptic number.

1664151552 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 1664151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747261400).

1664151552 is an abundant number, since it is smaller than the sum of its proper divisors (3830371248).

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

1664151552 is an equidigital number, since it uses as much as digits as its factorization.

1664151552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6486 (or 6461 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 1664151552 is about 40794.0136784798. The cubic root of 1664151552 is about 1185.0344016077.

The spelling of 1664151552 in words is "one billion, six hundred sixty-four million, one hundred fifty-one thousand, five hundred fifty-two".