1006353973248 has 1088 divisors, whose sum is σ = 3424539202560. Its totient is φ = 259107323904.

The previous prime is 1006353973237. The next prime is 1006353973249. The reversal of 1006353973248 is 8423793536001.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1006353973248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006353973249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18987810790 + ... + 18987810842.

It is a 1-persistent number, because it is pandigital, but 2⋅1006353973248 = 2012707946496 is not.

Almost surely, 2^{1006353973248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006353973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712269601280).

1006353973248 is an abundant number, since it is smaller than the sum of its proper divisors (2418185229312).

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

1006353973248 is a wasteful number, since it uses less digits than its factorization.

1006353973248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1006353973248 in words is "one trillion, six billion, three hundred fifty-three million, nine hundred seventy-three thousand, two hundred forty-eight".