365082646122496 has 351 divisors, whose sum is σ = 767678237845617. Its totient is φ = 173596737699840.

The previous prime is 365082646122461. The next prime is 365082646122533. The reversal of 365082646122496 is 694221646280563.

It is a happy number.

The square root of 365082646122496 is 19107136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 263187026841600 + 101895619280896 = 16223040^2 + 10094336^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2786890428351 + ... + 2786890428481.

Almost surely, 2^{365082646122496} is an apocalyptic number.

365082646122496 is the 19107136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365082646122496

365082646122496 is an abundant number, since it is smaller than the sum of its proper divisors (402595591723121).

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

365082646122496 is an frugal number, since it uses more digits than its factorization.

365082646122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 64.

365082646122496 divided by its sum of digits (64) gives a square (5704416345664 = 2388392²).

The spelling of 365082646122496 in words is "three hundred sixty-five trillion, eighty-two billion, six hundred forty-six million, one hundred twenty-two thousand, four hundred ninety-six".