1631885472 has 144 divisors (see below), whose sum is σ = 5335424640. Its totient is φ = 463458816.

The previous prime is 1631885459. The next prime is 1631885503. The reversal of 1631885472 is 2745881361.

1631885472 is a `hidden beast` number, since 1 + 631 + 8 + 8 + 5 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 346429 + ... + 351107.

It is an arithmetic number, because the mean of its divisors is an integer number (37051560).

Almost surely, 2^1631885472 is an apocalyptic number.

1631885472 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 1631885472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667712320).

1631885472 is an abundant number, since it is smaller than the sum of its proper divisors (3703539168).

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

1631885472 is a wasteful number, since it uses less digits than its factorization.

1631885472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875 (or 4864 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1631885472 is about 40396.6022333562. The cubic root of 1631885472 is about 1177.3255219049.

The spelling of 1631885472 in words is "one billion, six hundred thirty-one million, eight hundred eighty-five thousand, four hundred seventy-two".