147633905664 has 896 divisors, whose sum is σ = 543548620800. Its totient is φ = 38645268480.

The previous prime is 147633905561. The next prime is 147633905701. The reversal of 147633905664 is 466509336741.

147633905664 is a `hidden beast` number, since 1 + 4 + 76 + 3 + 3 + 9 + 0 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a self number, because there is not a number n which added to its sum of digits gives 147633905664.

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, 1868783577 + ... + 1868783655.

Almost surely, 2^147633905664 is an apocalyptic number.

147633905664 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 147633905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271774310400).

147633905664 is an abundant number, since it is smaller than the sum of its proper divisors (395914715136).

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

147633905664 is an equidigital number, since it uses as much as digits as its factorization.

147633905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 147633905664 in words is "one hundred forty-seven billion, six hundred thirty-three million, nine hundred five thousand, six hundred sixty-four".