147469198617216 has 2304 divisors, whose sum is σ = 559596067430400. Its totient is φ = 38437944975360.

The previous prime is 147469198617203. The next prime is 147469198617217. The reversal of 147469198617216 is 612716891964741.

147469198617216 is a `hidden beast` number, since 1 + 4 + 7 + 469 + 1 + 9 + 86 + 1 + 72 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (147469198617217) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58916977821 + ... + 58916980323.

It is an arithmetic number, because the mean of its divisors is an integer number (242880237600).

Almost surely, 2^{147469198617216} is an apocalyptic number.

147469198617216 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 147469198617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279798033715200).

147469198617216 is an abundant number, since it is smaller than the sum of its proper divisors (412126868813184).

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

147469198617216 is a wasteful number, since it uses less digits than its factorization.

147469198617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2618 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 147469198617216 in words is "one hundred forty-seven trillion, four hundred sixty-nine billion, one hundred ninety-eight million, six hundred seventeen thousand, two hundred sixteen".