1729733228496 has 400 divisors, whose sum is σ = 6173155976064. Its totient is φ = 455342404608.

The previous prime is 1729733228491. The next prime is 1729733228507. The reversal of 1729733228496 is 6948223379271.

1729733228496 is a `hidden beast` number, since 1 + 7 + 2 + 97 + 3 + 32 + 28 + 496 = 666.

It is a super-3 number, since 3×1729733228496³ (a number of 38 digits) contains 333 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1729733228491) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64497586 + ... + 64524398.

Almost surely, 2^{1729733228496} is an apocalyptic number.

1729733228496 is a gapful number since it is divisible by the number (16) 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 1729733228496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086577988032).

1729733228496 is an abundant number, since it is smaller than the sum of its proper divisors (4443422747568).

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

1729733228496 is a wasteful number, since it uses less digits than its factorization.

1729733228496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27400 (or 27385 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 1729733228496 in words is "one trillion, seven hundred twenty-nine billion, seven hundred thirty-three million, two hundred twenty-eight thousand, four hundred ninety-six".