48624876972 has 108 divisors (see below), whose sum is σ = 143035923576. Its totient is φ = 13887417600.

The previous prime is 48624876967. The next prime is 48624877019. The reversal of 48624876972 is 27967842684.

48624876972 is a `hidden beast` number, since 4 + 8 + 62 + 487 + 6 + 97 + 2 = 666.

48624876972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7534347 + ... + 7540797.

Almost surely, 2^48624876972 is an apocalyptic number.

48624876972 is a gapful number since it is divisible by the number (42) 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 48624876972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71517961788).

48624876972 is an abundant number, since it is smaller than the sum of its proper divisors (94411046604).

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

48624876972 is a wasteful number, since it uses less digits than its factorization.

48624876972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748 (or 10736 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 48624876972 in words is "forty-eight billion, six hundred twenty-four million, eight hundred seventy-six thousand, nine hundred seventy-two".