49144237056000 has 1120 divisors, whose sum is σ = 189555126583680. Its totient is φ = 12652609536000.

The previous prime is 49144237055939. The next prime is 49144237056007. The reversal of 49144237056000 is 65073244194.

49144237056000 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 4 + 2 + 37 + 0 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49144237056007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2405365785 + ... + 2405386215.

Almost surely, 2^{49144237056000} is an apocalyptic number.

49144237056000 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 49144237056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94777563291840).

49144237056000 is an abundant number, since it is smaller than the sum of its proper divisors (140410889527680).

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

49144237056000 is an equidigital number, since it uses as much as digits as its factorization.

49144237056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20513 (or 20470 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 49144237056000 in words is "forty-nine trillion, one hundred forty-four billion, two hundred thirty-seven million, fifty-six thousand".