1564664185152 has 168 divisors, whose sum is σ = 4660201780416. Its totient is φ = 520515237888.

The previous prime is 1564664185057. The next prime is 1564664185163. The reversal of 1564664185152 is 2515814664651.

1564664185152 is a `hidden beast` number, since 1 + 5 + 64 + 6 + 64 + 1 + 8 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7722648 + ... + 7922664.

It is an arithmetic number, because the mean of its divisors is an integer number (27739296312).

Almost surely, 2^{1564664185152} is an apocalyptic number.

1564664185152 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 1564664185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330100890208).

1564664185152 is an abundant number, since it is smaller than the sum of its proper divisors (3095537595264).

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

1564664185152 is an equidigital number, since it uses as much as digits as its factorization.

1564664185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200547 (or 200525 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 1564664185152 in words is "one trillion, five hundred sixty-four billion, six hundred sixty-four million, one hundred eighty-five thousand, one hundred fifty-two".