361162562432 has 128 divisors (see below), whose sum is σ = 848532679680. Its totient is φ = 149883955200.

The previous prime is 361162562419. The next prime is 361162562473. The reversal of 361162562432 is 234265261163.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 361162562432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6969257 + ... + 7020887.

It is an arithmetic number, because the mean of its divisors is an integer number (6629161560).

Almost surely, 2^361162562432 is an apocalyptic number.

361162562432 is a gapful number since it is divisible by the number (32) 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 361162562432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424266339840).

361162562432 is an abundant number, since it is smaller than the sum of its proper divisors (487370117248).

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

361162562432 is a wasteful number, since it uses less digits than its factorization.

361162562432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51900 (or 51888 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The spelling of 361162562432 in words is "three hundred sixty-one billion, one hundred sixty-two million, five hundred sixty-two thousand, four hundred thirty-two".