46505381760 has 192 divisors, whose sum is σ = 167571499680. Its totient is φ = 11862208512.

The previous prime is 46505381753. The next prime is 46505381777. The reversal of 46505381760 is 6718350564.

46505381760 is a `hidden beast` number, since 4 + 6 + 50 + 538 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43039 + ... + 307998.

Almost surely, 2^46505381760 is an apocalyptic number.

46505381760 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 46505381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83785749840).

46505381760 is an abundant number, since it is smaller than the sum of its proper divisors (121066117920).

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

46505381760 is a wasteful number, since it uses less digits than its factorization.

46505381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351085 (or 351070 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 46505381760 in words is "forty-six billion, five hundred five million, three hundred eighty-one thousand, seven hundred sixty".