50214483446400 has 2688 divisors, whose sum is σ = 234268189626240. Its totient is φ = 10346434560000.

The previous prime is 50214483446377. The next prime is 50214483446431. The reversal of 50214483446400 is 464438441205.

It is a happy number.

50214483446400 is a `hidden beast` number, since 50 + 2 + 1 + 44 + 83 + 446 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 9128243650 + ... + 9128249150.

It is an arithmetic number, because the mean of its divisors is an integer number (87153344355).

Almost surely, 2^{50214483446400} is an apocalyptic number.

50214483446400 is a gapful number since it is divisible by the number (50) 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 50214483446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117134094813120).

50214483446400 is an abundant number, since it is smaller than the sum of its proper divisors (184053706179840).

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

50214483446400 is a wasteful number, since it uses less digits than its factorization.

50214483446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 50214483446400 in words is "fifty trillion, two hundred fourteen billion, four hundred eighty-three million, four hundred forty-six thousand, four hundred".