361248386688 has 384 divisors, whose sum is σ = 1216065052800. Its totient is φ = 100796866560.

The previous prime is 361248386687. The next prime is 361248386771. The reversal of 361248386688 is 886683842163.

361248386688 is a `hidden beast` number, since 3 + 6 + 1 + 248 + 386 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (361248386687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97870923 + ... + 97874613.

It is an arithmetic number, because the mean of its divisors is an integer number (3166836075).

Almost surely, 2^361248386688 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 361248386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608032526400).

361248386688 is an abundant number, since it is smaller than the sum of its proper divisors (854816666112).

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

361248386688 is a wasteful number, since it uses less digits than its factorization.

361248386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3985 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 361248386688 in words is "three hundred sixty-one billion, two hundred forty-eight million, three hundred eighty-six thousand, six hundred eighty-eight".