147216428556288 has 1344 divisors, whose sum is σ = 517379019494400. Its totient is φ = 37129944563712.

The previous prime is 147216428556287. The next prime is 147216428556289. The reversal of 147216428556288 is 882655824612741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (147216428556287) and next prime (147216428556289).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147216428556287) 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, 32765728570 + ... + 32765733062.

It is an arithmetic number, because the mean of its divisors is an integer number (384954627600).

Almost surely, 2^{147216428556288} 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 147216428556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258689509747200).

147216428556288 is an abundant number, since it is smaller than the sum of its proper divisors (370162590938112).

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

147216428556288 is an equidigital number, since it uses as much as digits as its factorization.

147216428556288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4541 counting only the distinct ones).

The product of its digits is 412876800, while the sum is 69.

The spelling of 147216428556288 in words is "one hundred forty-seven trillion, two hundred sixteen billion, four hundred twenty-eight million, five hundred fifty-six thousand, two hundred eighty-eight".