49379018598576 has 640 divisors, whose sum is σ = 154617303859200. Its totient is φ = 15042547998720.

The previous prime is 49379018598571. The next prime is 49379018598593. The reversal of 49379018598576 is 67589581097394.

49379018598576 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 9 + 0 + 18 + 598 + 5 + 7 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49379018598495 and 49379018598504.

It is not an unprimeable number, because it can be changed into a prime (49379018598571) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13952815015 + ... + 13952818553.

It is an arithmetic number, because the mean of its divisors is an integer number (241589537280).

Almost surely, 2^{49379018598576} is an apocalyptic number.

49379018598576 is a gapful number since it is divisible by the number (46) 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 49379018598576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77308651929600).

49379018598576 is an abundant number, since it is smaller than the sum of its proper divisors (105238285260624).

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

49379018598576 is a wasteful number, since it uses less digits than its factorization.

49379018598576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 81.

The spelling of 49379018598576 in words is "forty-nine trillion, three hundred seventy-nine billion, eighteen million, five hundred ninety-eight thousand, five hundred seventy-six".