161745948756 has 144 divisors (see below), whose sum is σ = 479171556864. Its totient is φ = 45040339008.

The previous prime is 161745948743. The next prime is 161745948827. The reversal of 161745948756 is 657849547161.

161745948756 is a `hidden beast` number, since 1 + 61 + 7 + 45 + 9 + 487 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 161745948693 and 161745948702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5044431 + ... + 5076393.

It is an arithmetic number, because the mean of its divisors is an integer number (3327580256).

Almost surely, 2^161745948756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161745948756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239585778432).

161745948756 is an abundant number, since it is smaller than the sum of its proper divisors (317425608108).

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

161745948756 is a wasteful number, since it uses less digits than its factorization.

161745948756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32490 (or 32485 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 161745948756 in words is "one hundred sixty-one billion, seven hundred forty-five million, nine hundred forty-eight thousand, seven hundred fifty-six".