361097926593408 has 384 divisors, whose sum is σ = 1147439779200000. Its totient is φ = 108548122152960.

The previous prime is 361097926593377. The next prime is 361097926593409. The reversal of 361097926593408 is 804395629790163.

361097926593408 is a `hidden beast` number, since 3 + 6 + 1 + 0 + 9 + 7 + 9 + 26 + 593 + 4 + 0 + 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361097926593409) 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, 41061193 + ... + 49073591.

It is an arithmetic number, because the mean of its divisors is an integer number (2988124425000).

It is a 1-persistent number, because it is pandigital, but 2⋅361097926593408 = 722195853186816 is not.

Almost surely, 2^{361097926593408} is an apocalyptic number.

361097926593408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361097926593408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573719889600000).

361097926593408 is an abundant number, since it is smaller than the sum of its proper divisors (786341852606592).

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

361097926593408 is a wasteful number, since it uses less digits than its factorization.

361097926593408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012538 (or 8012523 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 361097926593408 in words is "three hundred sixty-one trillion, ninety-seven billion, nine hundred twenty-six million, five hundred ninety-three thousand, four hundred eight".