46454791088160 has 1440 divisors, whose sum is σ = 213568958655360. Its totient is φ = 9285526388736.

The previous prime is 46454791088107. The next prime is 46454791088227. The reversal of 46454791088160 is 6188019745464.

46454791088160 is a `hidden beast` number, since 4 + 6 + 4 + 547 + 9 + 1 + 0 + 8 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 291222184 + ... + 291381656.

It is an arithmetic number, because the mean of its divisors is an integer number (148311776844).

Almost surely, 2^{46454791088160} is an apocalyptic number.

46454791088160 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 46454791088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106784479327680).

46454791088160 is an abundant number, since it is smaller than the sum of its proper divisors (167114167567200).

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

46454791088160 is a wasteful number, since it uses less digits than its factorization.

46454791088160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159552 (or 159522 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 46454791088160 in words is "forty-six trillion, four hundred fifty-four billion, seven hundred ninety-one million, eighty-eight thousand, one hundred sixty".