52045149744 has 240 divisors, whose sum is σ = 172633593600. Its totient is φ = 14321309184.

The previous prime is 52045149719. The next prime is 52045149829. The reversal of 52045149744 is 44794154025.

52045149744 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 514 + 97 + 44 = 666.

It is a super-2 number, since 2×52045149744² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52045149744.

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, 12947767 + ... + 12951785.

It is an arithmetic number, because the mean of its divisors is an integer number (719306640).

Almost surely, 2^52045149744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52045149744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86316796800).

52045149744 is an abundant number, since it is smaller than the sum of its proper divisors (120588443856).

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

52045149744 is a wasteful number, since it uses less digits than its factorization.

52045149744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 52045149744 in words is "fifty-two billion, forty-five million, one hundred forty-nine thousand, seven hundred forty-four".