49329883008 has 1024 divisors, whose sum is σ = 190356480000. Its totient is φ = 12238553088.

The previous prime is 49329883003. The next prime is 49329883063. The reversal of 49329883008 is 80038892394.

It is a happy number.

49329883008 is a `hidden beast` number, since 4 + 9 + 329 + 8 + 8 + 300 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49329883003) 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, 461026891 + ... + 461026997.

It is an arithmetic number, because the mean of its divisors is an integer number (185895000).

Almost surely, 2^49329883008 is an apocalyptic number.

49329883008 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 49329883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95178240000).

49329883008 is an abundant number, since it is smaller than the sum of its proper divisors (141026596992).

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

49329883008 is a wasteful number, since it uses less digits than its factorization.

49329883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 49329883008 in words is "forty-nine billion, three hundred twenty-nine million, eight hundred eighty-three thousand, eight".