45473633280 has 880 divisors, whose sum is σ = 178334640000. Its totient is φ = 11036196864.

The previous prime is 45473633267. The next prime is 45473633281. The reversal of 45473633280 is 8233637454.

45473633280 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 3 + 633 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45473633281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228510621 + ... + 228510819.

It is an arithmetic number, because the mean of its divisors is an integer number (202653000).

Almost surely, 2^45473633280 is an apocalyptic number.

45473633280 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 45473633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89167320000).

45473633280 is an abundant number, since it is smaller than the sum of its proper divisors (132861006720).

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

45473633280 is a wasteful number, since it uses less digits than its factorization.

45473633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 45473633280 in words is "forty-five billion, four hundred seventy-three million, six hundred thirty-three thousand, two hundred eighty".