1656148032 has 392 divisors, whose sum is σ = 6156545472. Its totient is φ = 429235200.

The previous prime is 1656147947. The next prime is 1656148063. The reversal of 1656148032 is 2308416561.

It is a happy number.

1656148032 is a `hidden beast` number, since 1 + 6 + 5 + 614 + 8 + 0 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3592282 + ... + 3592742.

Almost surely, 2^1656148032 is an apocalyptic number.

1656148032 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 1656148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078272736).

1656148032 is an abundant number, since it is smaller than the sum of its proper divisors (4500397440).

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

1656148032 is an equidigital number, since it uses as much as digits as its factorization.

1656148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1656148032 is about 40695.7987020773. The cubic root of 1656148032 is about 1183.1315917314.

The spelling of 1656148032 in words is "one billion, six hundred fifty-six million, one hundred forty-eight thousand, thirty-two".