46385602560 has 1120 divisors, whose sum is σ = 191827367424. Its totient is φ = 10616832000.

The previous prime is 46385602537. The next prime is 46385602589. The reversal of 46385602560 is 6520658364.

46385602560 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 560 + 25 + 60 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1131356140 + ... + 1131356180.

Almost surely, 2^46385602560 is an apocalyptic number.

46385602560 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 46385602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95913683712).

46385602560 is an abundant number, since it is smaller than the sum of its proper divisors (145441764864).

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

46385602560 is a wasteful number, since it uses less digits than its factorization.

46385602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 46385602560 in words is "forty-six billion, three hundred eighty-five million, six hundred two thousand, five hundred sixty".