49780490112 has 192 divisors, whose sum is σ = 148791202560. Its totient is φ = 16567027200.

The previous prime is 49780490093. The next prime is 49780490117. The reversal of 49780490112 is 21109408794.

It is a happy number.

49780490112 is a `hidden beast` number, since 49 + 7 + 8 + 0 + 490 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49780490117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34306987 + ... + 34308437.

It is an arithmetic number, because the mean of its divisors is an integer number (774954180).

Almost surely, 2^49780490112 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 49780490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74395601280).

49780490112 is an abundant number, since it is smaller than the sum of its proper divisors (99010712448).

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

49780490112 is a wasteful number, since it uses less digits than its factorization.

49780490112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 49780490112 in words is "forty-nine billion, seven hundred eighty million, four hundred ninety thousand, one hundred twelve".