1691149824 has 480 divisors, whose sum is σ = 6226059840. Its totient is φ = 429981696.

The previous prime is 1691149813. The next prime is 1691149841. The reversal of 1691149824 is 4289411961.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1691149824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15515082 + ... + 15515190.

It is an arithmetic number, because the mean of its divisors is an integer number (12970958).

Almost surely, 2^1691149824 is an apocalyptic number.

1691149824 is a gapful number since it is divisible by the number (14) 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 1691149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113029920).

1691149824 is an abundant number, since it is smaller than the sum of its proper divisors (4534910016).

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

1691149824 is a wasteful number, since it uses less digits than its factorization.

1691149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1691149824 is about 41123.5920610056. The cubic root of 1691149824 is about 1191.4085019331.

The spelling of 1691149824 in words is "one billion, six hundred ninety-one million, one hundred forty-nine thousand, eight hundred twenty-four".