1681630293616 has 240 divisors, whose sum is σ = 4405996123200. Its totient is φ = 614390870016.

The previous prime is 1681630293613. The next prime is 1681630293619. The reversal of 1681630293616 is 6163920361861.

It is an interprime number because it is at equal distance from previous prime (1681630293613) and next prime (1681630293619).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681630293613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6674380 + ... + 6921748.

It is an arithmetic number, because the mean of its divisors is an integer number (18358317180).

Almost surely, 2^{1681630293616} is an apocalyptic number.

1681630293616 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 1681630293616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202998061600).

1681630293616 is an abundant number, since it is smaller than the sum of its proper divisors (2724365829584).

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

1681630293616 is a wasteful number, since it uses less digits than its factorization.

1681630293616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247456 (or 247443 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 1681630293616 in words is "one trillion, six hundred eighty-one billion, six hundred thirty million, two hundred ninety-three thousand, six hundred sixteen".