1634716084968 has 256 divisors, whose sum is σ = 4866201446400. Its totient is φ = 506661765120.

The previous prime is 1634716084957. The next prime is 1634716084999. The reversal of 1634716084968 is 8694806174361.

It is a happy number.

1634716084968 is a `hidden beast` number, since 1 + 6 + 3 + 471 + 60 + 8 + 49 + 68 = 666.

It is a super-2 number, since 2×1634716084968² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216199908 + ... + 216207468.

It is an arithmetic number, because the mean of its divisors is an integer number (19008599400).

Almost surely, 2^{1634716084968} is an apocalyptic number.

1634716084968 is a gapful number since it is divisible by the number (18) 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 1634716084968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433100723200).

1634716084968 is an abundant number, since it is smaller than the sum of its proper divisors (3231485361432).

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

1634716084968 is a wasteful number, since it uses less digits than its factorization.

1634716084968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8297 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 1634716084968 in words is "one trillion, six hundred thirty-four billion, seven hundred sixteen million, eighty-four thousand, nine hundred sixty-eight".