50648142190464 has 1152 divisors, whose sum is σ = 193282338412800. Its totient is φ = 12420060217344.

The previous prime is 50648142190433. The next prime is 50648142190483. The reversal of 50648142190464 is 46409124184605.

50648142190464 is a `hidden beast` number, since 5 + 0 + 64 + 8 + 14 + 21 + 90 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 50648142190464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1922920207 + ... + 1922946545.

It is an arithmetic number, because the mean of its divisors is an integer number (167779807650).

Almost surely, 2^{50648142190464} 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 50648142190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96641169206400).

50648142190464 is an abundant number, since it is smaller than the sum of its proper divisors (142634196222336).

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

50648142190464 is a wasteful number, since it uses less digits than its factorization.

50648142190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26492 (or 26464 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 50648142190464 in words is "fifty trillion, six hundred forty-eight billion, one hundred forty-two million, one hundred ninety thousand, four hundred sixty-four".