147217449456 has 1500 divisors, whose sum is σ = 603664394256. Its totient is φ = 34424248320.

The previous prime is 147217449443. The next prime is 147217449461. The reversal of 147217449456 is 654944712741.

It is a happy number.

147217449456 is a `hidden beast` number, since 14 + 7 + 2 + 174 + 4 + 9 + 456 = 666.

147217449456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (6773760) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 6400758661 + ... + 6400758683.

Almost surely, 2^147217449456 is an apocalyptic number.

147217449456 is a gapful number since it is divisible by the number (16) 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 147217449456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301832197128).

147217449456 is an abundant number, since it is smaller than the sum of its proper divisors (456446944800).

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

147217449456 is a wasteful number, since it uses less digits than its factorization.

147217449456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 63 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 147217449456 in words is "one hundred forty-seven billion, two hundred seventeen million, four hundred forty-nine thousand, four hundred fifty-six".