49622448960000 has 4800 divisors, whose sum is σ = 233169361920000. Its totient is φ = 10346434560000.

The previous prime is 49622448959869. The next prime is 49622448960023. The reversal of 49622448960000 is 6984422694.

49622448960000 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 24 + 4 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 249359039901 + ... + 249359040099.

It is an arithmetic number, because the mean of its divisors is an integer number (48576950400).

Almost surely, 2^{49622448960000} is an apocalyptic number.

49622448960000 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 49622448960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116584680960000).

49622448960000 is an abundant number, since it is smaller than the sum of its proper divisors (183546912960000).

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

49622448960000 is a wasteful number, since it uses less digits than its factorization.

49622448960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49622448960000 in words is "forty-nine trillion, six hundred twenty-two billion, four hundred forty-eight million, nine hundred sixty thousand".