49146768 has 240 divisors, whose sum is σ = 167132160. Its totient is φ = 13305600.

The previous prime is 49146761. The next prime is 49146803. The reversal of 49146768 is 86764194.

It is not an unprimeable number, because it can be changed into a prime (49146761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692173 + ... + 692243.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^49146768 is an apocalyptic number.

49146768 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 49146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

49146768 is an abundant number, since it is smaller than the sum of its proper divisors (117985392).

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

49146768 is a wasteful number, since it uses less digits than its factorization.

49146768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49146768 is about 7010.4755901437. The cubic root of 49146768 is about 366.2955598796.

The spelling of 49146768 in words is "forty-nine million, one hundred forty-six thousand, seven hundred sixty-eight".