46744100480 has 384 divisors, whose sum is σ = 143113703040. Its totient is φ = 14285905920.

The previous prime is 46744100477. The next prime is 46744100497. The reversal of 46744100480 is 8400144764.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28729427 + ... + 28731053.

It is an arithmetic number, because the mean of its divisors is an integer number (372691935).

Almost surely, 2^46744100480 is an apocalyptic number.

46744100480 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 46744100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71556851520).

46744100480 is an abundant number, since it is smaller than the sum of its proper divisors (96369602560).

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

46744100480 is a wasteful number, since it uses less digits than its factorization.

46744100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 46744100480 in words is "forty-six billion, seven hundred forty-four million, one hundred thousand, four hundred eighty".