1449352092672 has 1584 divisors, whose sum is σ = 5327224156800. Its totient is φ = 388775116800.

The previous prime is 1449352092637. The next prime is 1449352092677. The reversal of 1449352092672 is 2762902539441.

It is a happy number.

1449352092672 is a `hidden beast` number, since 1 + 4 + 4 + 93 + 520 + 9 + 26 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449352092677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46753293297 + ... + 46753293327.

Almost surely, 2^{1449352092672} is an apocalyptic number.

1449352092672 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 1449352092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663612078400).

1449352092672 is an abundant number, since it is smaller than the sum of its proper divisors (3877872064128).

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

1449352092672 is a wasteful number, since it uses less digits than its factorization.

1449352092672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1449352092672 in words is "one trillion, four hundred forty-nine billion, three hundred fifty-two million, ninety-two thousand, six hundred seventy-two".