4694945490900 has 972 divisors, whose sum is σ = 17832259305588. Its totient is φ = 1030126325760.

The previous prime is 4694945490817. The next prime is 4694945490919. The reversal of 4694945490900 is 90945494964.

4694945490900 is a `hidden beast` number, since 4 + 6 + 9 + 4 + 9 + 454 + 90 + 90 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 2775462704784 + 1919482786116 = 1665972^2 + 1385454^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 10273403472 + ... + 10273403928.

Almost surely, 2^{4694945490900} 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 4694945490900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916129652794).

4694945490900 is an abundant number, since it is smaller than the sum of its proper divisors (13137313814688).

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

4694945490900 is a wasteful number, since it uses less digits than its factorization.

4694945490900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 4694945490900 in words is "four trillion, six hundred ninety-four billion, nine hundred forty-five million, four hundred ninety thousand, nine hundred".