133464416064630 has 384 divisors, whose sum is σ = 397393340544000. Its totient is φ = 28022199754752.

The previous prime is 133464416064461. The next prime is 133464416064647. The reversal of 133464416064630 is 36460614464331.

133464416064630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1010652846 + ... + 1010784894.

It is an arithmetic number, because the mean of its divisors is an integer number (1034878491000).

Almost surely, 2^{133464416064630} is an apocalyptic number.

133464416064630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133464416064630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198696670272000).

133464416064630 is an abundant number, since it is smaller than the sum of its proper divisors (263928924479370).

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

133464416064630 is a wasteful number, since it uses less digits than its factorization.

133464416064630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132308 (or 132265 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 51.

The spelling of 133464416064630 in words is "one hundred thirty-three trillion, four hundred sixty-four billion, four hundred sixteen million, sixty-four thousand, six hundred thirty".