45450671608584 has 192 divisors, whose sum is σ = 142237895192640. Its totient is φ = 12957959393280.

The previous prime is 45450671608571. The next prime is 45450671608649. The reversal of 45450671608584 is 48580617605454.

45450671608584 is a `hidden beast` number, since 4 + 5 + 4 + 506 + 71 + 6 + 0 + 8 + 58 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35823532 + ... + 37070564.

It is an arithmetic number, because the mean of its divisors is an integer number (740822370795).

Almost surely, 2^{45450671608584} is an apocalyptic number.

45450671608584 is a gapful number since it is divisible by the number (44) 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 45450671608584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71118947596320).

45450671608584 is an abundant number, since it is smaller than the sum of its proper divisors (96787223584056).

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

45450671608584 is a wasteful number, since it uses less digits than its factorization.

45450671608584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249780 (or 1249773 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 45450671608584 in words is "forty-five trillion, four hundred fifty billion, six hundred seventy-one million, six hundred eight thousand, five hundred eighty-four".