971553449776 has 240 divisors, whose sum is σ = 2511893353536. Its totient is φ = 359565115392.

The previous prime is 971553449771. The next prime is 971553449809. The reversal of 971553449776 is 677944355179.

971553449776 = 48119² + 48120² + ... + 48534².

It is a super-2 number, since 2×971553449776² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (971553449771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28918300 + ... + 28951876.

Almost surely, 2^971553449776 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 971553449776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255946676768).

971553449776 is an abundant number, since it is smaller than the sum of its proper divisors (1540339903760).

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

971553449776 is a wasteful number, since it uses less digits than its factorization.

971553449776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33796 (or 33783 counting only the distinct ones).

The product of its digits is 200037600, while the sum is 67.

The spelling of 971553449776 in words is "nine hundred seventy-one billion, five hundred fifty-three million, four hundred forty-nine thousand, seven hundred seventy-six".