4973837654016 has 2304 divisors, whose sum is σ = 19781546803200. Its totient is φ = 1211115110400.

The previous prime is 4973837654003. The next prime is 4973837654063. The reversal of 4973837654016 is 6104567383794.

It is a happy number.

4973837654016 is a `hidden beast` number, since 4 + 9 + 7 + 3 + 8 + 3 + 76 + 540 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×4973837654016² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 62959970265 + ... + 62959970343.

It is an arithmetic number, because the mean of its divisors is an integer number (8585740800).

Almost surely, 2^{4973837654016} 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 4973837654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890773401600).

4973837654016 is an abundant number, since it is smaller than the sum of its proper divisors (14807709149184).

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

4973837654016 is a wasteful number, since it uses less digits than its factorization.

4973837654016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 4973837654016 in words is "four trillion, nine hundred seventy-three billion, eight hundred thirty-seven million, six hundred fifty-four thousand, sixteen".