36443726954496 has 405 divisors, whose sum is σ = 107166687664491. Its totient is φ = 11933865934848.

The previous prime is 36443726954429. The next prime is 36443726954507. The reversal of 36443726954496 is 69445962734463.

The square root of 36443726954496 is 6036864.

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

36443726954496 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 3 + 72 + 6 + 9 + 544 + 9 + 6 = 666.

It is a super-2 number, since 2×36443726954496² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183134306205 + ... + 183134306403.

Almost surely, 2^{36443726954496} is an apocalyptic number.

36443726954496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36443726954496 is the 6036864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36443726954496

36443726954496 is an abundant number, since it is smaller than the sum of its proper divisors (70722960709995).

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

36443726954496 is an frugal number, since it uses more digits than its factorization.

36443726954496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 283 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 72.

The spelling of 36443726954496 in words is "thirty-six trillion, four hundred forty-three billion, seven hundred twenty-six million, nine hundred fifty-four thousand, four hundred ninety-six".