967453222464 has 315 divisors, whose sum is σ = 3030932696187. Its totient is φ = 305086632192.

The previous prime is 967453222459. The next prime is 967453222471. The reversal of 967453222464 is 464222354769.

The square root of 967453222464 is 983592.

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

967453222464 is a `hidden beast` number, since 9 + 6 + 74 + 5 + 322 + 246 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 967453222464.

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, 1345553497 + ... + 1345554215.

Almost surely, 2^967453222464 is an apocalyptic number.

967453222464 is the 983592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967453222464

967453222464 is an abundant number, since it is smaller than the sum of its proper divisors (2063479473723).

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

967453222464 is an frugal number, since it uses more digits than its factorization.

967453222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 743 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

It can be divided in two parts, 9674532 and 22464, that added together give a square (9696996 = 3114²).

The spelling of 967453222464 in words is "nine hundred sixty-seven billion, four hundred fifty-three million, two hundred twenty-two thousand, four hundred sixty-four".