45861670680 has 256 divisors, whose sum is σ = 163202688000. Its totient is φ = 10087569408.

The previous prime is 45861670643. The next prime is 45861670693. The reversal of 45861670680 is 8607616854.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7719151 + ... + 7725089.

It is an arithmetic number, because the mean of its divisors is an integer number (637510500).

Almost surely, 2^45861670680 is an apocalyptic number.

45861670680 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 45861670680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81601344000).

45861670680 is an abundant number, since it is smaller than the sum of its proper divisors (117341017320).

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

45861670680 is a wasteful number, since it uses less digits than its factorization.

45861670680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 45861670680 in words is "forty-five billion, eight hundred sixty-one million, six hundred seventy thousand, six hundred eighty".