4953633656976 has 225 divisors, whose sum is σ = 14400012972345. Its totient is φ = 1589666826240.

The previous prime is 4953633656941. The next prime is 4953633657001. The reversal of 4953633656976 is 6796563363594.

The square root of 4953633656976 is 2225676.

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

4953633656976 is a `hidden beast` number, since 4 + 9 + 53 + 6 + 3 + 3 + 6 + 569 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1200207891600 + 3753425765376 = 1095540^2 + 1937376^2 .

It is a super-3 number, since 3×4953633656976³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25666495536 + ... + 25666495728.

Almost surely, 2^{4953633656976} is an apocalyptic number.

4953633656976 is the 2225676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4953633656976

4953633656976 is an abundant number, since it is smaller than the sum of its proper divisors (9446379315369).

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

4953633656976 is an frugal number, since it uses more digits than its factorization.

4953633656976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 229 counting only the distinct ones).

The product of its digits is 1984046400, while the sum is 72.

The spelling of 4953633656976 in words is "four trillion, nine hundred fifty-three billion, six hundred thirty-three million, six hundred fifty-six thousand, nine hundred seventy-six".