147114427824 has 1120 divisors, whose sum is σ = 577067065344. Its totient is φ = 35204751360.

The previous prime is 147114427777. The next prime is 147114427847. The reversal of 147114427824 is 428724411741.

147114427824 is a `hidden beast` number, since 147 + 1 + 1 + 4 + 427 + 82 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 147114427824.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 559370317 + ... + 559370579.

Almost surely, 2^147114427824 is an apocalyptic number.

147114427824 is a gapful number since it is divisible by the number (14) 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 147114427824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288533532672).

147114427824 is an abundant number, since it is smaller than the sum of its proper divisors (429952637520).

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

147114427824 is a wasteful number, since it uses less digits than its factorization.

147114427824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The spelling of 147114427824 in words is "one hundred forty-seven billion, one hundred fourteen million, four hundred twenty-seven thousand, eight hundred twenty-four".