361382052960 has 192 divisors, whose sum is σ = 1265908512960. Its totient is φ = 96286924800.

The previous prime is 361382052959. The next prime is 361382053001. The reversal of 361382052960 is 69250283163.

361382052960 is a `hidden beast` number, since 3 + 61 + 3 + 8 + 2 + 0 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5153494 + ... + 5223146.

It is an arithmetic number, because the mean of its divisors is an integer number (6593273505).

Almost surely, 2^361382052960 is an apocalyptic number.

361382052960 is a gapful number since it is divisible by the number (30) 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 361382052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632954256480).

361382052960 is an abundant number, since it is smaller than the sum of its proper divisors (904526460000).

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

361382052960 is a wasteful number, since it uses less digits than its factorization.

361382052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70878 (or 70864 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 361382052960 in words is "three hundred sixty-one billion, three hundred eighty-two million, fifty-two thousand, nine hundred sixty".