49001610197568 has 224 divisors, whose sum is σ = 151649875593216. Its totient is φ = 13671937585152.

The previous prime is 49001610197473. The next prime is 49001610197581. The reversal of 49001610197568 is 86579101610094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×49001610197568² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276908605 + ... + 277085507.

It is an arithmetic number, because the mean of its divisors is an integer number (677008373184).

Almost surely, 2^{49001610197568} is an apocalyptic number.

49001610197568 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 49001610197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75824937796608).

49001610197568 is an abundant number, since it is smaller than the sum of its proper divisors (102648265395648).

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

49001610197568 is a wasteful number, since it uses less digits than its factorization.

49001610197568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181761 (or 181751 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 49001610197568 in words is "forty-nine trillion, one billion, six hundred ten million, one hundred ninety-seven thousand, five hundred sixty-eight".