361853811648 has 448 divisors, whose sum is σ = 1240082457600. Its totient is φ = 102604382208.

The previous prime is 361853811623. The next prime is 361853811659. The reversal of 361853811648 is 846118358163.

It is a happy number.

361853811648 is a `hidden beast` number, since 3 + 61 + 8 + 538 + 1 + 1 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 361853811594 and 361853811603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136187536 + ... + 136190192.

It is an arithmetic number, because the mean of its divisors is an integer number (2768041200).

Almost surely, 2^361853811648 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 361853811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620041228800).

361853811648 is an abundant number, since it is smaller than the sum of its proper divisors (878228645952).

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

361853811648 is an equidigital number, since it uses as much as digits as its factorization.

361853811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2808 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 361853811648 in words is "three hundred sixty-one billion, eight hundred fifty-three million, eight hundred eleven thousand, six hundred forty-eight".