361167144 has 64 divisors (see below), whose sum is σ = 984748800. Its totient is φ = 109714176.

The previous prime is 361167127. The next prime is 361167161. The reversal of 361167144 is 441761163.

It is an interprime number because it is at equal distance from previous prime (361167127) and next prime (361167161).

It is a super-3 number, since 3×361167144³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17322 + ... + 31974.

It is an arithmetic number, because the mean of its divisors is an integer number (15386700).

Almost surely, 2^361167144 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 361167144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492374400).

361167144 is an abundant number, since it is smaller than the sum of its proper divisors (623581656).

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

361167144 is a wasteful number, since it uses less digits than its factorization.

361167144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14754 (or 14750 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 361167144 is about 19004.3980173012. The cubic root of 361167144 is about 712.1466105949.

The spelling of 361167144 in words is "three hundred sixty-one million, one hundred sixty-seven thousand, one hundred forty-four".