48842768016 has 225 divisors, whose sum is σ = 164632886649. Its totient is φ = 13939164288.

The previous prime is 48842768003. The next prime is 48842768021. The reversal of 48842768016 is 61086724884.

The square root of 48842768016 is 221004.

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

48842768016 is a `hidden beast` number, since 488 + 4 + 2 + 76 + 80 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41152179600 + 7690588416 = 202860^2 + 87696^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55692570 + ... + 55693446.

Almost surely, 2^48842768016 is an apocalyptic number.

48842768016 is the 221004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48842768016

48842768016 is an abundant number, since it is smaller than the sum of its proper divisors (115790118633).

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

48842768016 is an frugal number, since it uses more digits than its factorization.

48842768016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 48842768016 in words is "forty-eight billion, eight hundred forty-two million, seven hundred sixty-eight thousand, sixteen".