5614457450616 has 192 divisors, whose sum is σ = 17486408459520. Its totient is φ = 1594148843520.

The previous prime is 5614457450471. The next prime is 5614457450639. The reversal of 5614457450616 is 6160547544165.

5614457450616 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 4 + 574 + 5 + 0 + 61 + 6 = 666.

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, 94421391 + ... + 94480833.

It is an arithmetic number, because the mean of its divisors is an integer number (91075044060).

Almost surely, 2^{5614457450616} is an apocalyptic number.

5614457450616 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 5614457450616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743204229760).

5614457450616 is an abundant number, since it is smaller than the sum of its proper divisors (11871951008904).

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

5614457450616 is a wasteful number, since it uses less digits than its factorization.

5614457450616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60626 (or 60619 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5614457450616 in words is "five trillion, six hundred fourteen billion, four hundred fifty-seven million, four hundred fifty thousand, six hundred sixteen".