46934808480 has 576 divisors, whose sum is σ = 195983843328. Its totient is φ = 10380026880.

The previous prime is 46934808461. The next prime is 46934808493. The reversal of 46934808480 is 8480843964.

46934808480 is a `hidden beast` number, since 4 + 6 + 9 + 3 + 480 + 84 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8434179 + ... + 8439741.

It is an arithmetic number, because the mean of its divisors is an integer number (340249728).

Almost surely, 2^46934808480 is an apocalyptic number.

46934808480 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 46934808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97991921664).

46934808480 is an abundant number, since it is smaller than the sum of its proper divisors (149049034848).

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

46934808480 is a wasteful number, since it uses less digits than its factorization.

46934808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 46934808480 in words is "forty-six billion, nine hundred thirty-four million, eight hundred eight thousand, four hundred eighty".