4862690211456 has 960 divisors, whose sum is σ = 17926749116640. Its totient is φ = 1254635827200.

The previous prime is 4862690211451. The next prime is 4862690211469. The reversal of 4862690211456 is 6541120962684.

It is a happy number.

4862690211456 is a `hidden beast` number, since 4 + 8 + 626 + 9 + 0 + 2 + 1 + 1 + 4 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4862690211451) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 5507009991 + ... + 5507010873.

Almost surely, 2^{4862690211456} 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 4862690211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963374558320).

4862690211456 is an abundant number, since it is smaller than the sum of its proper divisors (13064058905184).

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

4862690211456 is a wasteful number, since it uses less digits than its factorization.

4862690211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4862690211456 in words is "four trillion, eight hundred sixty-two billion, six hundred ninety million, two hundred eleven thousand, four hundred fifty-six".