161335093752 has 96 divisors (see below), whose sum is σ = 499755809280. Its totient is φ = 46060176960.

The previous prime is 161335093747. The next prime is 161335093757. The reversal of 161335093752 is 257390533161.

161335093752 is a `hidden beast` number, since 1 + 6 + 133 + 509 + 3 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (161335093747) and next prime (161335093757).

It is a junction number, because it is equal to n+sod(n) for n = 161335093698 and 161335093707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161335093757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533877 + ... + 779547.

It is an arithmetic number, because the mean of its divisors is an integer number (5205789680).

Almost surely, 2^161335093752 is an apocalyptic number.

161335093752 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 161335093752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249877904640).

161335093752 is an abundant number, since it is smaller than the sum of its proper divisors (338420715528).

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

161335093752 is a wasteful number, since it uses less digits than its factorization.

161335093752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246993 (or 246986 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 161335093752 in words is "one hundred sixty-one billion, three hundred thirty-five million, ninety-three thousand, seven hundred fifty-two".