48698944978320 has 1920 divisors, whose sum is σ = 221443426713600. Its totient is φ = 9296287875072.

The previous prime is 48698944978289. The next prime is 48698944978331. The reversal of 48698944978320 is 2387944989684.

48698944978320 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 8 + 94 + 497 + 8 + 32 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48698944978320.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29748896542 + ... + 29748898178.

It is an arithmetic number, because the mean of its divisors is an integer number (115335118080).

Almost surely, 2^{48698944978320} is an apocalyptic number.

48698944978320 is a gapful number since it is divisible by the number (40) 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 48698944978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110721713356800).

48698944978320 is an abundant number, since it is smaller than the sum of its proper divisors (172744481735280).

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

48698944978320 is a wasteful number, since it uses less digits than its factorization.

48698944978320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 81.

The spelling of 48698944978320 in words is "forty-eight trillion, six hundred ninety-eight billion, nine hundred forty-four million, nine hundred seventy-eight thousand, three hundred twenty".