1984645152 has 432 divisors, whose sum is σ = 7129467072. Its totient is φ = 531878400.

The previous prime is 1984645063. The next prime is 1984645199. The reversal of 1984645152 is 2515464891.

1984645152 is a `hidden beast` number, since 1 + 98 + 46 + 4 + 515 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1984645098 and 1984645107.

It is a congruent number.

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, 19649902 + ... + 19650002.

It is an arithmetic number, because the mean of its divisors is an integer number (16503396).

Almost surely, 2^1984645152 is an apocalyptic number.

1984645152 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 1984645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564733536).

1984645152 is an abundant number, since it is smaller than the sum of its proper divisors (5144821920).

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

1984645152 is a wasteful number, since it uses less digits than its factorization.

1984645152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1984645152 is about 44549.3563589868. The cubic root of 1984645152 is about 1256.6884470032.

The spelling of 1984645152 in words is "one billion, nine hundred eighty-four million, six hundred forty-five thousand, one hundred fifty-two".