46480896000 has 1248 divisors, whose sum is σ = 210499001856. Its totient is φ = 9584640000.

The previous prime is 46480895969. The next prime is 46480896013. The reversal of 46480896000 is 69808464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354815935 + ... + 354816065.

It is an arithmetic number, because the mean of its divisors is an integer number (168669072).

Almost surely, 2^46480896000 is an apocalyptic number.

46480896000 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 46480896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105249500928).

46480896000 is an abundant number, since it is smaller than the sum of its proper divisors (164018105856).

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

46480896000 is a wasteful number, since it uses less digits than its factorization.

46480896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 46480896000 in words is "forty-six billion, four hundred eighty million, eight hundred ninety-six thousand".