361456464384 has 480 divisors, whose sum is σ = 1120690771200. Its totient is φ = 111959801856.

The previous prime is 361456464329. The next prime is 361456464437. The reversal of 361456464384 is 483464654163.

It is a happy number.

361456464384 is a `hidden beast` number, since 3 + 6 + 14 + 564 + 64 + 3 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 361456464384.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344571892 + ... + 344572940.

It is an arithmetic number, because the mean of its divisors is an integer number (2334772440).

Almost surely, 2^361456464384 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 361456464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560345385600).

361456464384 is an abundant number, since it is smaller than the sum of its proper divisors (759234306816).

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

361456464384 is a wasteful number, since it uses less digits than its factorization.

361456464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1181 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 361456464384 in words is "three hundred sixty-one billion, four hundred fifty-six million, four hundred sixty-four thousand, three hundred eighty-four".