361658021688 has 192 divisors, whose sum is σ = 1022544432000. Its totient is φ = 119751115392.

The previous prime is 361658021671. The next prime is 361658021693. The reversal of 361658021688 is 886120856163.

361658021688 is a `hidden beast` number, since 3 + 616 + 5 + 8 + 0 + 2 + 16 + 8 + 8 = 666.

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

It is a congruent number.

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, 326111278 + ... + 326112386.

It is an arithmetic number, because the mean of its divisors is an integer number (5325752250).

Almost surely, 2^361658021688 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 361658021688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511272216000).

361658021688 is an abundant number, since it is smaller than the sum of its proper divisors (660886410312).

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

361658021688 is a wasteful number, since it uses less digits than its factorization.

361658021688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2080 counting only the distinct ones).

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

The spelling of 361658021688 in words is "three hundred sixty-one billion, six hundred fifty-eight million, twenty-one thousand, six hundred eighty-eight".