361950411648 has 128 divisors (see below), whose sum is σ = 1103339255040. Its totient is φ = 102985113600.

The previous prime is 361950411631. The next prime is 361950411653. The reversal of 361950411648 is 846114059163.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 361950411597 and 361950411606.

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, 368443 + ... + 927173.

It is an arithmetic number, because the mean of its divisors is an integer number (8619837930).

Almost surely, 2^361950411648 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 361950411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551669627520).

361950411648 is an abundant number, since it is smaller than the sum of its proper divisors (741388843392).

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

361950411648 is a wasteful number, since it uses less digits than its factorization.

361950411648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558996 (or 558984 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 361950411648 in words is "three hundred sixty-one billion, nine hundred fifty million, four hundred eleven thousand, six hundred forty-eight".