45278897664 has 640 divisors, whose sum is σ = 165539404800. Its totient is φ = 10838016000.

The previous prime is 45278897659. The next prime is 45278897717. The reversal of 45278897664 is 46679887254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 45278897595 and 45278897604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75338964 + ... + 75339564.

It is an arithmetic number, because the mean of its divisors is an integer number (258655320).

Almost surely, 2^45278897664 is an apocalyptic number.

45278897664 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 45278897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82769702400).

45278897664 is an abundant number, since it is smaller than the sum of its proper divisors (120260507136).

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

45278897664 is a wasteful number, since it uses less digits than its factorization.

45278897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 637 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 66.

The spelling of 45278897664 in words is "forty-five billion, two hundred seventy-eight million, eight hundred ninety-seven thousand, six hundred sixty-four".