1671146496 has 132 divisors (see below), whose sum is σ = 4938788712. Its totient is φ = 543965184.

The previous prime is 1671146473. The next prime is 1671146531. The reversal of 1671146496 is 6946411761.

1671146496 is a `hidden beast` number, since 16 + 7 + 1 + 146 + 496 = 666.

It is a super-2 number, since 2×1671146496² = 5585461222186156032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394180 + ... + 398396.

It is an arithmetic number, because the mean of its divisors is an integer number (37415066).

Almost surely, 2^1671146496 is an apocalyptic number.

1671146496 is a gapful number since it is divisible by the number (16) 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 1671146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469394356).

1671146496 is an abundant number, since it is smaller than the sum of its proper divisors (3267642216).

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

1671146496 is a wasteful number, since it uses less digits than its factorization.

1671146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4265 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1671146496 is about 40879.6587069902. The cubic root of 1671146496 is about 1186.6924361417.

The spelling of 1671146496 in words is "one billion, six hundred seventy-one million, one hundred forty-six thousand, four hundred ninety-six".