48698846396928 has 1120 divisors, whose sum is σ = 181836236736000. Its totient is φ = 12680375205888.

The previous prime is 48698846396927. The next prime is 48698846396929. The reversal of 48698846396928 is 82969364889684.

48698846396928 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 88 + 463 + 9 + 69 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48698846396927) and next prime (48698846396929).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48698846396927) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2683270798 + ... + 2683288946.

It is an arithmetic number, because the mean of its divisors is an integer number (162353782800).

Almost surely, 2^{48698846396928} is an apocalyptic number.

48698846396928 is a gapful number since it is divisible by the number (48) 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 48698846396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90918118368000).

48698846396928 is an abundant number, since it is smaller than the sum of its proper divisors (133137390339072).

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

48698846396928 is an equidigital number, since it uses as much as digits as its factorization.

48698846396928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 18253 counting only the distinct ones).

The product of its digits is 61917364224, while the sum is 90.

The spelling of 48698846396928 in words is "forty-eight trillion, six hundred ninety-eight billion, eight hundred forty-six million, three hundred ninety-six thousand, nine hundred twenty-eight".