1681714944 has 324 divisors, whose sum is σ = 6010267536. Its totient is φ = 442810368.

The previous prime is 1681714933. The next prime is 1681714961. The reversal of 1681714944 is 4494171861.

1681714944 is a `hidden beast` number, since 16 + 81 + 71 + 494 + 4 = 666.

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

Its product of digits (193536) is a multiple of the sum of its prime factors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 1681714944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2725324 + ... + 2725940.

Almost surely, 2^1681714944 is an apocalyptic number.

1681714944 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 1681714944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005133768).

1681714944 is an abundant number, since it is smaller than the sum of its proper divisors (4328552592).

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

1681714944 is a wasteful number, since it uses less digits than its factorization.

1681714944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 642 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1681714944 is about 41008.7179024168. The cubic root of 1681714944 is about 1189.1887566935.

The spelling of 1681714944 in words is "one billion, six hundred eighty-one million, seven hundred fourteen thousand, nine hundred forty-four".