46548459874560 has 576 divisors, whose sum is σ = 176291911434240. Its totient is φ = 10243048734720.

The previous prime is 46548459874559. The next prime is 46548459874577. The reversal of 46548459874560 is 6547895484564.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 160678321 + ... + 160967759.

It is an arithmetic number, because the mean of its divisors is an integer number (306062346240).

Almost surely, 2^{46548459874560} is an apocalyptic number.

46548459874560 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 46548459874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88145955717120).

46548459874560 is an abundant number, since it is smaller than the sum of its proper divisors (129743451559680).

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

46548459874560 is a wasteful number, since it uses less digits than its factorization.

46548459874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289694 (or 289680 counting only the distinct ones).

The product of its (nonzero) digits is 4644864000, while the sum is 75.

The spelling of 46548459874560 in words is "forty-six trillion, five hundred forty-eight billion, four hundred fifty-nine million, eight hundred seventy-four thousand, five hundred sixty".