4951461635344 has 75 divisors (see below), whose sum is σ = 11192686349253. Its totient is φ = 2121868070784.

The previous prime is 4951461635299. The next prime is 4951461635347. The reversal of 4951461635344 is 4435361641594.

The square root of 4951461635344 is 2225188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1357737648400 + 3593723986944 = 1165220^2 + 1895712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4951461635347) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 436131172 + ... + 436142524.

Almost surely, 2^{4951461635344} is an apocalyptic number.

4951461635344 is the 2225188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4951461635344

4951461635344 is an abundant number, since it is smaller than the sum of its proper divisors (6241224713909).

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

4951461635344 is an frugal number, since it uses more digits than its factorization.

4951461635344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22742 (or 11362 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 55.

The spelling of 4951461635344 in words is "four trillion, nine hundred fifty-one billion, four hundred sixty-one million, six hundred thirty-five thousand, three hundred forty-four".