48769804512 has 576 divisors, whose sum is σ = 171978992640. Its totient is φ = 13399603200.

The previous prime is 48769804511. The next prime is 48769804541. The reversal of 48769804512 is 21540896784.

It is a happy number.

48769804512 is a `hidden beast` number, since 48 + 7 + 6 + 9 + 80 + 4 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48769804511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67829689 + ... + 67830407.

It is an arithmetic number, because the mean of its divisors is an integer number (298574640).

Almost surely, 2^48769804512 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 48769804512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85989496320).

48769804512 is an abundant number, since it is smaller than the sum of its proper divisors (123209188128).

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

48769804512 is a wasteful number, since it uses less digits than its factorization.

48769804512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48769804512 in words is "forty-eight billion, seven hundred sixty-nine million, eight hundred four thousand, five hundred twelve".