967115130009966 has 1344 divisors, whose sum is σ = 2776676845879296. Its totient is φ = 246989968243200.

The previous prime is 967115130009961. The next prime is 967115130009967. The reversal of 967115130009966 is 669900031511769.

967115130009966 is a `hidden beast` number, since 96 + 7 + 1 + 151 + 300 + 0 + 9 + 96 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967115130009961) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 884826284916 + ... + 884826286008.

Almost surely, 2^{967115130009966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967115130009966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388338422939648).

967115130009966 is an abundant number, since it is smaller than the sum of its proper divisors (1809561715869330).

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

967115130009966 is a wasteful number, since it uses less digits than its factorization.

967115130009966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 967115130009966 in words is "nine hundred sixty-seven trillion, one hundred fifteen billion, one hundred thirty million, nine thousand, nine hundred sixty-six".