45095082480 has 1280 divisors, whose sum is σ = 197473075200. Its totient is φ = 9233326080.

The previous prime is 45095082469. The next prime is 45095082499. The reversal of 45095082480 is 8428059054.

45095082480 is a `hidden beast` number, since 4 + 5 + 0 + 95 + 0 + 82 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 506686276 + ... + 506686364.

It is an arithmetic number, because the mean of its divisors is an integer number (154275840).

Almost surely, 2^45095082480 is an apocalyptic number.

45095082480 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 45095082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98736537600).

45095082480 is an abundant number, since it is smaller than the sum of its proper divisors (152377992720).

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

45095082480 is a wasteful number, since it uses less digits than its factorization.

45095082480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 45095082480 in words is "forty-five billion, ninety-five million, eighty-two thousand, four hundred eighty".