48203342260416 has 1344 divisors, whose sum is σ = 171402378048000. Its totient is φ = 13238419783680.

The previous prime is 48203342260361. The next prime is 48203342260439. The reversal of 48203342260416 is 61406224330284.

48203342260416 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 3 + 3 + 4 + 22 + 604 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47773381320 + ... + 47773382328.

Almost surely, 2^{48203342260416} 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 48203342260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85701189024000).

48203342260416 is an abundant number, since it is smaller than the sum of its proper divisors (123199035787584).

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

48203342260416 is a wasteful number, since it uses less digits than its factorization.

48203342260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 48203342260416 in words is "forty-eight trillion, two hundred three billion, three hundred forty-two million, two hundred sixty thousand, four hundred sixteen".