49329245311200 has 288 divisors, whose sum is σ = 178574412693600. Its totient is φ = 13142153871360.

The previous prime is 49329245311153. The next prime is 49329245311217. The reversal of 49329245311200 is 211354292394.

49329245311200 is a `hidden beast` number, since 4 + 9 + 3 + 2 + 92 + 4 + 531 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22022224 + ... + 24158576.

It is an arithmetic number, because the mean of its divisors is an integer number (620050044075).

Almost surely, 2^{49329245311200} is an apocalyptic number.

49329245311200 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 49329245311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89287206346800).

49329245311200 is an abundant number, since it is smaller than the sum of its proper divisors (129245167382400).

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

49329245311200 is a wasteful number, since it uses less digits than its factorization.

49329245311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137451 (or 2137432 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 49329245311200 in words is "forty-nine trillion, three hundred twenty-nine billion, two hundred forty-five million, three hundred eleven thousand, two hundred".