161893684858752 has 2560 divisors, whose sum is σ = 637284166041600. Its totient is φ = 39555568926720.

The previous prime is 161893684858733. The next prime is 161893684858753. The reversal of 161893684858752 is 257858486398161.

161893684858752 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 9 + 3 + 6 + 8 + 485 + 87 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161893684858753) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 349662386073 + ... + 349662386535.

It is an arithmetic number, because the mean of its divisors is an integer number (248939127360).

Almost surely, 2^{161893684858752} is an apocalyptic number.

161893684858752 is a gapful number since it is divisible by the number (12) 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 161893684858752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318642083020800).

161893684858752 is an abundant number, since it is smaller than the sum of its proper divisors (475390481182848).

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

161893684858752 is a wasteful number, since it uses less digits than its factorization.

161893684858752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 785 counting only the distinct ones).

The product of its digits is 5573836800, while the sum is 81.

The spelling of 161893684858752 in words is "one hundred sixty-one trillion, eight hundred ninety-three billion, six hundred eighty-four million, eight hundred fifty-eight thousand, seven hundred fifty-two".