49906188829068 has 384 divisors, whose sum is σ = 144819019376640. Its totient is φ = 13159934853120.

The previous prime is 49906188829043. The next prime is 49906188829069. The reversal of 49906188829068 is 86092888160994.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 49906188828984 and 49906188829002.

It is not an unprimeable number, because it can be changed into a prime (49906188829069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4290047380 + ... + 4290059012.

It is an arithmetic number, because the mean of its divisors is an integer number (377132862960).

Almost surely, 2^{49906188829068} 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 49906188829068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72409509688320).

49906188829068 is an abundant number, since it is smaller than the sum of its proper divisors (94912830547572).

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

49906188829068 is a wasteful number, since it uses less digits than its factorization.

49906188829068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13249 (or 13247 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 78.

The spelling of 49906188829068 in words is "forty-nine trillion, nine hundred six billion, one hundred eighty-eight million, eight hundred twenty-nine thousand, sixty-eight".