49468229846280 has 576 divisors, whose sum is σ = 189953741502720. Its totient is φ = 10936730004480.

The previous prime is 49468229846261. The next prime is 49468229846291. The reversal of 49468229846280 is 8264892286494.

49468229846280 is a `hidden beast` number, since 4 + 9 + 4 + 6 + 82 + 2 + 9 + 8 + 462 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49468229846199 and 49468229846208.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6410288982 + ... + 6410296698.

It is an arithmetic number, because the mean of its divisors is an integer number (329780801220).

Almost surely, 2^{49468229846280} is an apocalyptic number.

49468229846280 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 49468229846280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94976870751360).

49468229846280 is an abundant number, since it is smaller than the sum of its proper divisors (140485511656440).

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

49468229846280 is a wasteful number, since it uses less digits than its factorization.

49468229846280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 49468229846280 in words is "forty-nine trillion, four hundred sixty-eight billion, two hundred twenty-nine million, eight hundred forty-six thousand, two hundred eighty".