360142848 has 240 divisors, whose sum is σ = 1165404240. Its totient is φ = 110149632.

The previous prime is 360142843. The next prime is 360142859. The reversal of 360142848 is 848241063.

360142848 is a `hidden beast` number, since 3 + 601 + 4 + 2 + 8 + 48 = 666.

It is a super-2 number, since 2×360142848² = 259405741931102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360142843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156461 + ... + 2156627.

It is an arithmetic number, because the mean of its divisors is an integer number (4855851).

Almost surely, 2^360142848 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 360142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582702120).

360142848 is an abundant number, since it is smaller than the sum of its proper divisors (805261392).

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

360142848 is a wasteful number, since it uses less digits than its factorization.

360142848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 360142848 is about 18977.4299629850. The cubic root of 360142848 is about 711.4727401398.

The spelling of 360142848 in words is "three hundred sixty million, one hundred forty-two thousand, eight hundred forty-eight".