46545733080 has 720 divisors, whose sum is σ = 200118386160. Its totient is φ = 9667848960.

The previous prime is 46545733079. The next prime is 46545733093. The reversal of 46545733080 is 8033754564.

46545733080 is a `hidden beast` number, since 4 + 6 + 545 + 73 + 30 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 19208749 + ... + 19211171.

It is an arithmetic number, because the mean of its divisors is an integer number (277942203).

Almost surely, 2^46545733080 is an apocalyptic number.

46545733080 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 46545733080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100059193080).

46545733080 is an abundant number, since it is smaller than the sum of its proper divisors (153572653080).

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

46545733080 is a wasteful number, since it uses less digits than its factorization.

46545733080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 46545733080 in words is "forty-six billion, five hundred forty-five million, seven hundred thirty-three thousand, eighty".