49129082496 has 512 divisors, whose sum is σ = 167018880000. Its totient is φ = 14090858496.

The previous prime is 49129082491. The next prime is 49129082537. The reversal of 49129082496 is 69428092194.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (49129082491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57192915 + ... + 57193773.

It is an arithmetic number, because the mean of its divisors is an integer number (326208750).

Almost surely, 2^49129082496 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 49129082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83509440000).

49129082496 is an abundant number, since it is smaller than the sum of its proper divisors (117889797504).

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

49129082496 is a wasteful number, since it uses less digits than its factorization.

49129082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 49129082496 in words is "forty-nine billion, one hundred twenty-nine million, eighty-two thousand, four hundred ninety-six".