49146219904320 has 2016 divisors, whose sum is σ = 222606268934400. Its totient is φ = 9829357977600.

The previous prime is 49146219904297. The next prime is 49146219904363. The reversal of 49146219904320 is 2340991264194.

49146219904320 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 621 + 9 + 9 + 0 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16161202000 + ... + 16161205040.

Almost surely, 2^{49146219904320} is an apocalyptic number.

49146219904320 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 49146219904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111303134467200).

49146219904320 is an abundant number, since it is smaller than the sum of its proper divisors (173460049030080).

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

49146219904320 is a wasteful number, since it uses less digits than its factorization.

49146219904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 49146219904320 in words is "forty-nine trillion, one hundred forty-six billion, two hundred nineteen million, nine hundred four thousand, three hundred twenty".