4349187453000 has 384 divisors, whose sum is σ = 14719120416000. Its totient is φ = 1068707328000.

The previous prime is 4349187452977. The next prime is 4349187453007. The reversal of 4349187453000 is 3547819434.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4349187453007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303685840 + ... + 303700160.

It is an arithmetic number, because the mean of its divisors is an integer number (38331042750).

Almost surely, 2^{4349187453000} is an apocalyptic number.

4349187453000 is a gapful number since it is divisible by the number (40) 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 4349187453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359560208000).

4349187453000 is an abundant number, since it is smaller than the sum of its proper divisors (10369932963000).

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

4349187453000 is a wasteful number, since it uses less digits than its factorization.

4349187453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14970 (or 14943 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 4349187453000 in words is "four trillion, three hundred forty-nine billion, one hundred eighty-seven million, four hundred fifty-three thousand".