48726062784 has 112 divisors (see below), whose sum is σ = 163709299200. Its totient is φ = 13921728768.

The previous prime is 48726062783. The next prime is 48726062807.

It is a happy number.

48726062784 is a `hidden beast` number, since 4 + 8 + 7 + 2 + 6 + 0 + 627 + 8 + 4 = 666.

48726062784 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48726062784.

It is not an unprimeable number, because it can be changed into a prime (48726062783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2002044 + ... + 2026235.

Almost surely, 2^48726062784 is an apocalyptic number.

It is an amenable number.

48726062784 is an abundant number, since it is smaller than the sum of its proper divisors (114983236416).

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

48726062784 is a wasteful number, since it uses less digits than its factorization.

48726062784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028307 (or 4028291 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 48726062784 in words is "forty-eight billion, seven hundred twenty-six million, sixty-two thousand, seven hundred eighty-four".