1359723036672 has 1632 divisors, whose sum is σ = 5496174028800. Its totient is φ = 319071191040.

The previous prime is 1359723036641. The next prime is 1359723036673. The reversal of 1359723036672 is 2766303279531.

1359723036672 is a `hidden beast` number, since 13 + 597 + 2 + 3 + 0 + 36 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359723036673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28930277353 + ... + 28930277399.

Almost surely, 2^{1359723036672} is an apocalyptic number.

1359723036672 is a gapful number since it is divisible by the number (12) 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 1359723036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748087014400).

1359723036672 is an abundant number, since it is smaller than the sum of its proper divisors (4136450992128).

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

1359723036672 is an equidigital number, since it uses as much as digits as its factorization.

1359723036672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 1359723036672 in words is "one trillion, three hundred fifty-nine billion, seven hundred twenty-three million, thirty-six thousand, six hundred seventy-two".