46455406208640 has 1280 divisors, whose sum is σ = 196396176493440. Its totient is φ = 10316043878400.

The previous prime is 46455406208639. The next prime is 46455406208699. The reversal of 46455406208640 is 4680260455464.

46455406208640 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 5 + 4 + 0 + 620 + 8 + 6 + 4 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 971094802 + ... + 971142638.

Almost surely, 2^{46455406208640} is an apocalyptic number.

46455406208640 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 46455406208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98198088246720).

46455406208640 is an abundant number, since it is smaller than the sum of its proper divisors (149940770284800).

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

46455406208640 is a wasteful number, since it uses less digits than its factorization.

46455406208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48023 (or 48002 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 46455406208640 in words is "forty-six trillion, four hundred fifty-five billion, four hundred six million, two hundred eight thousand, six hundred forty".