50109984642816 has 432 divisors, whose sum is σ = 167444312555520. Its totient is φ = 14115695247360.

The previous prime is 50109984642713. The next prime is 50109984642847. The reversal of 50109984642816 is 61824648990105.

50109984642816 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 9 + 98 + 464 + 2 + 81 + 6 = 666.

It is a super-4 number, since 4×50109984642816⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3954692161 + ... + 3954704831.

It is an arithmetic number, because the mean of its divisors is an integer number (387602575360).

Almost surely, 2^{50109984642816} is an apocalyptic number.

50109984642816 is a gapful number since it is divisible by the number (56) 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 50109984642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83722156277760).

50109984642816 is an abundant number, since it is smaller than the sum of its proper divisors (117334327912704).

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

50109984642816 is a wasteful number, since it uses less digits than its factorization.

50109984642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16132 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 50109984642816 in words is "fifty trillion, one hundred nine billion, nine hundred eighty-four million, six hundred forty-two thousand, eight hundred sixteen".