45682497360 has 240 divisors, whose sum is σ = 154893211200. Its totient is φ = 12065366016.

The previous prime is 45682497347. The next prime is 45682497379. The reversal of 45682497360 is 6379428654.

45682497360 is a `hidden beast` number, since 4 + 568 + 2 + 4 + 9 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45682497297 and 45682497306.

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 47 ways as a sum of consecutive naturals, for example, 49173376 + ... + 49174304.

It is an arithmetic number, because the mean of its divisors is an integer number (645388380).

Almost surely, 2^45682497360 is an apocalyptic number.

45682497360 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 45682497360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77446605600).

45682497360 is an abundant number, since it is smaller than the sum of its proper divisors (109210713840).

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

45682497360 is a wasteful number, since it uses less digits than its factorization.

45682497360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 45682497360 in words is "forty-five billion, six hundred eighty-two million, four hundred ninety-seven thousand, three hundred sixty".