48411817329680 has 160 divisors (see below), whose sum is σ = 129335122569984. Its totient is φ = 16508313796608.

The previous prime is 48411817329679. The next prime is 48411817329697. The reversal of 48411817329680 is 8692371811484.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461773427 + ... + 461878253.

Almost surely, 2^{48411817329680} is an apocalyptic number.

48411817329680 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 48411817329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64667561284992).

48411817329680 is an abundant number, since it is smaller than the sum of its proper divisors (80923305240304).

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

48411817329680 is a wasteful number, since it uses less digits than its factorization.

48411817329680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109313 (or 109307 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 62.

The spelling of 48411817329680 in words is "forty-eight trillion, four hundred eleven billion, eight hundred seventeen million, three hundred twenty-nine thousand, six hundred eighty".