147916529633664 has 512 divisors, whose sum is σ = 505578350592000. Its totient is φ = 42076314501120.

The previous prime is 147916529633623. The next prime is 147916529633707. The reversal of 147916529633664 is 466336925619741.

147916529633664 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 1 + 6 + 529 + 6 + 3 + 36 + 64 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 147916529633592 and 147916529633601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247223382 + ... + 247820970.

It is an arithmetic number, because the mean of its divisors is an integer number (987457716000).

Almost surely, 2^{147916529633664} 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 147916529633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252789175296000).

147916529633664 is an abundant number, since it is smaller than the sum of its proper divisors (357661820958336).

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

147916529633664 is a wasteful number, since it uses less digits than its factorization.

147916529633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598023 (or 598005 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 147916529633664 in words is "one hundred forty-seven trillion, nine hundred sixteen billion, five hundred twenty-nine million, six hundred thirty-three thousand, six hundred sixty-four".