48356502304896 has 896 divisors, whose sum is σ = 154407218112000. Its totient is φ = 15042599092224.

The previous prime is 48356502304871. The next prime is 48356502304961. The reversal of 48356502304896 is 69840320565384.

48356502304896 is a `hidden beast` number, since 4 + 8 + 3 + 5 + 6 + 502 + 30 + 4 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 46097713780 + ... + 46097714828.

It is an arithmetic number, because the mean of its divisors is an integer number (172329484500).

Almost surely, 2^{48356502304896} is an apocalyptic number.

48356502304896 is a gapful number since it is divisible by the number (46) 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 48356502304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77203609056000).

48356502304896 is an abundant number, since it is smaller than the sum of its proper divisors (106050715807104).

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

48356502304896 is a wasteful number, since it uses less digits than its factorization.

48356502304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 48356502304896 in words is "forty-eight trillion, three hundred fifty-six billion, five hundred two million, three hundred four thousand, eight hundred ninety-six".