5614348950000 has 1800 divisors, whose sum is σ = 24886878231600. Its totient is φ = 1214922240000.

The previous prime is 5614348949977. The next prime is 5614348950011. The reversal of 5614348950000 is 598434165.

5614348950000 is a `hidden beast` number, since 5 + 61 + 4 + 3 + 4 + 89 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×5614348950000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3770549256 + ... + 3770550744.

It is an arithmetic number, because the mean of its divisors is an integer number (13826043462).

Almost surely, 2^{5614348950000} is an apocalyptic number.

5614348950000 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 5614348950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443439115800).

5614348950000 is an abundant number, since it is smaller than the sum of its proper divisors (19272529281600).

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

5614348950000 is a wasteful number, since it uses less digits than its factorization.

5614348950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5614348950000 in words is "five trillion, six hundred fourteen billion, three hundred forty-eight million, nine hundred fifty thousand".