133464489984 has 384 divisors, whose sum is σ = 466680502080. Its totient is φ = 35880173568.

The previous prime is 133464489959. The next prime is 133464489989. The reversal of 133464489984 is 489984464331.

It is a happy number.

133464489984 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 64 + 489 + 98 + 4 = 666.

133464489984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (133464489989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35092627 + ... + 35096429.

Almost surely, 2^133464489984 is an apocalyptic number.

133464489984 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 133464489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233340251040).

133464489984 is an abundant number, since it is smaller than the sum of its proper divisors (333216012096).

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

133464489984 is an equidigital number, since it uses as much as digits as its factorization.

133464489984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3832 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 133464489984 in words is "one hundred thirty-three billion, four hundred sixty-four million, four hundred eighty-nine thousand, nine hundred eighty-four".