49346088960 has 624 divisors, whose sum is σ = 189055619136. Its totient is φ = 10949492736.

The previous prime is 49346088949. The next prime is 49346088971. The reversal of 49346088960 is 6988064394.

It is an interprime number because it is at equal distance from previous prime (49346088949) and next prime (49346088971).

It is a self number, because there is not a number n which added to its sum of digits gives 49346088960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111390499 + ... + 111390941.

Almost surely, 2^49346088960 is an apocalyptic number.

49346088960 is a gapful number since it is divisible by the number (40) 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 49346088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94527809568).

49346088960 is an abundant number, since it is smaller than the sum of its proper divisors (139709530176).

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

49346088960 is a wasteful number, since it uses less digits than its factorization.

49346088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 49346088960 in words is "forty-nine billion, three hundred forty-six million, eighty-eight thousand, nine hundred sixty".