49291186296576 has 288 divisors, whose sum is σ = 153258249811968. Its totient is φ = 13770865704960.

The previous prime is 49291186296559. The next prime is 49291186296577. The reversal of 49291186296576 is 67569268119294.

49291186296576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49291186296498 and 49291186296507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49291186296577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276081256 + ... + 276259736.

It is an arithmetic number, because the mean of its divisors is an integer number (532146700736).

Almost surely, 2^{49291186296576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49291186296576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76629124905984).

49291186296576 is an abundant number, since it is smaller than the sum of its proper divisors (103967063515392).

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

49291186296576 is a wasteful number, since it uses less digits than its factorization.

49291186296576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179647 (or 179633 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 75.

The spelling of 49291186296576 in words is "forty-nine trillion, two hundred ninety-one billion, one hundred eighty-six million, two hundred ninety-six thousand, five hundred seventy-six".