45197176560 has 320 divisors, whose sum is σ = 147350568960. Its totient is φ = 11449589760.

The previous prime is 45197176543. The next prime is 45197176571. The reversal of 45197176560 is 6567179154.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73730814 + ... + 73731426.

It is an arithmetic number, because the mean of its divisors is an integer number (460470528).

Almost surely, 2^45197176560 is an apocalyptic number.

45197176560 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 45197176560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73675284480).

45197176560 is an abundant number, since it is smaller than the sum of its proper divisors (102153392400).

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

45197176560 is a wasteful number, since it uses less digits than its factorization.

45197176560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 45197176560 in words is "forty-five billion, one hundred ninety-seven million, one hundred seventy-six thousand, five hundred sixty".