46625046480 has 240 divisors, whose sum is σ = 158949648000. Its totient is φ = 12246764544.

The previous prime is 46625046469. The next prime is 46625046487. The reversal of 46625046480 is 8464052664.

46625046480 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 504 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46625046487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14046261 + ... + 14049579.

It is an arithmetic number, because the mean of its divisors is an integer number (662290200).

Almost surely, 2^46625046480 is an apocalyptic number.

46625046480 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 46625046480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79474824000).

46625046480 is an abundant number, since it is smaller than the sum of its proper divisors (112324601520).

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

46625046480 is a wasteful number, since it uses less digits than its factorization.

46625046480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 46625046480 in words is "forty-six billion, six hundred twenty-five million, forty-six thousand, four hundred eighty".