361921906944 has 576 divisors, whose sum is σ = 1219178956800. Its totient is φ = 105106636800.

The previous prime is 361921906933. The next prime is 361921906981. The reversal of 361921906944 is 449609129163.

It is a happy number.

361921906944 is a `hidden beast` number, since 3 + 619 + 2 + 19 + 0 + 6 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 114205392 + ... + 114208560.

Almost surely, 2^361921906944 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 361921906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609589478400).

361921906944 is an abundant number, since it is smaller than the sum of its proper divisors (857257049856).

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

361921906944 is a wasteful number, since it uses less digits than its factorization.

361921906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 361921906944 in words is "three hundred sixty-one billion, nine hundred twenty-one million, nine hundred six thousand, nine hundred forty-four".