45657368064 has 640 divisors, whose sum is σ = 171589017600. Its totient is φ = 11642019840.

The previous prime is 45657368047. The next prime is 45657368089. The reversal of 45657368064 is 46086375654.

45657368064 is a `hidden beast` number, since 4 + 5 + 6 + 573 + 6 + 8 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45657368064.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 62802069 + ... + 62802795.

It is an arithmetic number, because the mean of its divisors is an integer number (268107840).

Almost surely, 2^45657368064 is an apocalyptic number.

45657368064 is a gapful number since it is divisible by the number (44) 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 45657368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85794508800).

45657368064 is an abundant number, since it is smaller than the sum of its proper divisors (125931649536).

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

45657368064 is a wasteful number, since it uses less digits than its factorization.

45657368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

It can be divided in two parts, 4565736 and 8064, that added together give a triangular number (4573800 = T₃₀₂₄).

The spelling of 45657368064 in words is "forty-five billion, six hundred fifty-seven million, three hundred sixty-eight thousand, sixty-four".