48731445504 has 567 divisors, whose sum is σ = 172008886833. Its totient is φ = 13732540416.

The previous prime is 48731445493. The next prime is 48731445527. The reversal of 48731445504 is 40554413784.

The square root of 48731445504 is 220752.

It is a perfect power (a square), and thus also a powerful number.

48731445504 is a `hidden beast` number, since 4 + 87 + 3 + 14 + 4 + 550 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27662342400 + 21069103104 = 166320^2 + 145152^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a self number, because there is not a number n which added to its sum of digits gives 48731445504.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 667554012 + ... + 667554084.

Almost surely, 2^48731445504 is an apocalyptic number.

48731445504 is the 220752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48731445504

48731445504 is an abundant number, since it is smaller than the sum of its proper divisors (123277441329).

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

48731445504 is an frugal number, since it uses more digits than its factorization.

48731445504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 48731445504 in words is "forty-eight billion, seven hundred thirty-one million, four hundred forty-five thousand, five hundred four".