4487147102592 has 768 divisors, whose sum is σ = 16671575232000. Its totient is φ = 1133892587520.

The previous prime is 4487147102591. The next prime is 4487147102611. The reversal of 4487147102592 is 2952017417844.

It is a happy number.

4487147102592 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 1 + 47 + 1 + 0 + 2 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4487147102591) 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, 397122159 + ... + 397133457.

It is an arithmetic number, because the mean of its divisors is an integer number (21707780250).

Almost surely, 2^{4487147102592} is an apocalyptic number.

4487147102592 is a gapful number since it is divisible by the number (42) 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 4487147102592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335787616000).

4487147102592 is an abundant number, since it is smaller than the sum of its proper divisors (12184428129408).

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

4487147102592 is a wasteful number, since it uses less digits than its factorization.

4487147102592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11396 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 4487147102592 in words is "four trillion, four hundred eighty-seven billion, one hundred forty-seven million, one hundred two thousand, five hundred ninety-two".