161280958464 has 168 divisors, whose sum is σ = 483155640240. Its totient is φ = 53759655936.

The previous prime is 161280958429. The next prime is 161280958499. The reversal of 161280958464 is 464859082161.

161280958464 is a `hidden beast` number, since 1 + 6 + 12 + 80 + 95 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (161280958429) and next prime (161280958499).

It is a super-4 number, since 4×161280958464⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 161280958464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1950147 + ... + 2031165.

It is an arithmetic number, because the mean of its divisors is an integer number (2875926430).

Almost surely, 2^161280958464 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 161280958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241577820120).

161280958464 is an abundant number, since it is smaller than the sum of its proper divisors (321874681776).

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

161280958464 is an frugal number, since it uses more digits than its factorization.

161280958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81060 (or 81024 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 161280958464 in words is "one hundred sixty-one billion, two hundred eighty million, nine hundred fifty-eight thousand, four hundred sixty-four".