45576551114480 has 120 divisors (see below), whose sum is σ = 108873278874000. Its totient is φ = 17743267476480.

The previous prime is 45576551114477. The next prime is 45576551114491. The reversal of 45576551114480 is 8441115567554.

It is a super-2 number, since 2×45576551114480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41017271 + ... + 42113769.

It is an arithmetic number, because the mean of its divisors is an integer number (907277323950).

Almost surely, 2^{45576551114480} is an apocalyptic number.

45576551114480 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 45576551114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54436639437000).

45576551114480 is an abundant number, since it is smaller than the sum of its proper divisors (63296727759520).

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

45576551114480 is a wasteful number, since it uses less digits than its factorization.

45576551114480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096879 (or 1096830 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 56.

The spelling of 45576551114480 in words is "forty-five trillion, five hundred seventy-six billion, five hundred fifty-one million, one hundred fourteen thousand, four hundred eighty".