161488864844640 has 960 divisors, whose sum is σ = 591733069804800. Its totient is φ = 41442325622784.

The previous prime is 161488864844633. The next prime is 161488864844647. The reversal of 161488864844640 is 46448468884161.

It is a happy number.

161488864844640 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 8 + 8 + 86 + 4 + 84 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161488864844633) and next prime (161488864844647).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161488864844647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37917082831 + ... + 37917087089.

It is an arithmetic number, because the mean of its divisors is an integer number (616388614380).

Almost surely, 2^{161488864844640} is an apocalyptic number.

161488864844640 is a gapful number since it is divisible by the number (10) 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 161488864844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295866534902400).

161488864844640 is an abundant number, since it is smaller than the sum of its proper divisors (430244204960160).

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

161488864844640 is a wasteful number, since it uses less digits than its factorization.

161488864844640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 905969664, while the sum is 72.

The spelling of 161488864844640 in words is "one hundred sixty-one trillion, four hundred eighty-eight billion, eight hundred sixty-four million, eight hundred forty-four thousand, six hundred forty".