46134900480 has 144 divisors (see below), whose sum is σ = 147448060704. Its totient is φ = 12293898240.

The previous prime is 46134900353. The next prime is 46134900481. The reversal of 46134900480 is 8400943164.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46134900481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6820300 + ... + 6827060.

It is an arithmetic number, because the mean of its divisors is an integer number (1023944866).

Almost surely, 2^46134900480 is an apocalyptic number.

46134900480 is a gapful number since it is divisible by the number (40) 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 46134900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73724030352).

46134900480 is an abundant number, since it is smaller than the sum of its proper divisors (101313160224).

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

46134900480 is a wasteful number, since it uses less digits than its factorization.

46134900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 46134900480 in words is "forty-six billion, one hundred thirty-four million, nine hundred thousand, four hundred eighty".