45922570080 has 192 divisors, whose sum is σ = 146150645760. Its totient is φ = 12119998464.

The previous prime is 45922569997. The next prime is 45922570097. The reversal of 45922570080 is 8007522954.

It is a super-2 number, since 2×45922570080² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 37733632 + ... + 37734848.

It is an arithmetic number, because the mean of its divisors is an integer number (761201280).

Almost surely, 2^45922570080 is an apocalyptic number.

45922570080 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 45922570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73075322880).

45922570080 is an abundant number, since it is smaller than the sum of its proper divisors (100228075680).

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

45922570080 is a wasteful number, since it uses less digits than its factorization.

45922570080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 45922570080 in words is "forty-five billion, nine hundred twenty-two million, five hundred seventy thousand, eighty".