48584294806400 has 96 divisors (see below), whose sum is σ = 120021328839000. Its totient is φ = 19433242183680.

The previous prime is 48584294806363. The next prime is 48584294806417. The reversal of 48584294806400 is 460849248584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149351126 + ... + 149676074.

Almost surely, 2^{48584294806400} is an apocalyptic number.

48584294806400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48584294806400 is an abundant number, since it is smaller than the sum of its proper divisors (71437034032600).

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

48584294806400 is a wasteful number, since it uses less digits than its factorization.

48584294806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371696 (or 371679 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 62.

The spelling of 48584294806400 in words is "forty-eight trillion, five hundred eighty-four billion, two hundred ninety-four million, eight hundred six thousand, four hundred".