48364810470144 has 1152 divisors, whose sum is σ = 173599655362560. Its totient is φ = 12983710924800.

The previous prime is 48364810470139. The next prime is 48364810470173. The reversal of 48364810470144 is 44107401846384.

48364810470144 is a `hidden beast` number, since 4 + 83 + 6 + 4 + 81 + 0 + 470 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25046508859 + ... + 25046510789.

It is an arithmetic number, because the mean of its divisors is an integer number (150694145280).

Almost surely, 2^{48364810470144} 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 48364810470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86799827681280).

48364810470144 is an abundant number, since it is smaller than the sum of its proper divisors (125234844892416).

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

48364810470144 is a wasteful number, since it uses less digits than its factorization.

48364810470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 48364810470144 in words is "forty-eight trillion, three hundred sixty-four billion, eight hundred ten million, four hundred seventy thousand, one hundred forty-four".