48209973009408 has 792 divisors, whose sum is σ = 168249484494000. Its totient is φ = 13748091420672.

The previous prime is 48209973009361. The next prime is 48209973009461. The reversal of 48209973009408 is 80490037990284.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6937681518 + ... + 6937688466.

Almost surely, 2^{48209973009408} is an apocalyptic number.

48209973009408 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 48209973009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84124742247000).

48209973009408 is an abundant number, since it is smaller than the sum of its proper divisors (120039511484592).

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

48209973009408 is an equidigital number, since it uses as much as digits as its factorization.

48209973009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7567 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 48209973009408 in words is "forty-eight trillion, two hundred nine billion, nine hundred seventy-three million, nine thousand, four hundred eight".