48474969903360 has 8640 divisors, whose sum is σ = 258613687664640. Its totient is φ = 8384643072000.

The previous prime is 48474969903337. The next prime is 48474969903389. The reversal of 48474969903360 is 6330996947484.

48474969903360 is a `hidden beast` number, since 4 + 8 + 47 + 496 + 9 + 9 + 0 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 794671637730 + ... + 794671637790.

It is an arithmetic number, because the mean of its divisors is an integer number (29932139776).

Almost surely, 2^{48474969903360} is an apocalyptic number.

48474969903360 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 48474969903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129306843832320).

48474969903360 is an abundant number, since it is smaller than the sum of its proper divisors (210138717761280).

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

48474969903360 is a wasteful number, since it uses less digits than its factorization.

48474969903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 48474969903360 in words is "forty-eight trillion, four hundred seventy-four billion, nine hundred sixty-nine million, nine hundred three thousand, three hundred sixty".