45656097760 has 192 divisors, whose sum is σ = 135993561984. Its totient is φ = 14096793600.

The previous prime is 45656097737. The next prime is 45656097763. The reversal of 45656097760 is 6779065654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45656097763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558720 + ... + 635200.

It is an arithmetic number, because the mean of its divisors is an integer number (708299802).

Almost surely, 2^45656097760 is an apocalyptic number.

45656097760 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 45656097760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67996780992).

45656097760 is an abundant number, since it is smaller than the sum of its proper divisors (90337464224).

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

45656097760 is a wasteful number, since it uses less digits than its factorization.

45656097760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76557 (or 76549 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 45656097760 in words is "forty-five billion, six hundred fifty-six million, ninety-seven thousand, seven hundred sixty".