961322689497933 has 384 divisors, whose sum is σ = 1843194480230400. Its totient is φ = 491600403504000.

The previous prime is 961322689497887. The next prime is 961322689497949. The reversal of 961322689497933 is 339794986223169.

961322689497933 is a `hidden beast` number, since 9 + 6 + 1 + 32 + 2 + 6 + 8 + 9 + 497 + 93 + 3 = 666.

It is not a de Polignac number, because 961322689497933 - 2⁶ = 961322689497869 is a prime.

It is a super-2 number, since 2×961322689497933² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961322689417933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57733622658 + ... + 57733639308.

It is an arithmetic number, because the mean of its divisors is an integer number (4799985625600).

Almost surely, 2^{961322689497933} is an apocalyptic number.

961322689497933 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

961322689497933 is a deficient number, since it is larger than the sum of its proper divisors (881871790732467).

961322689497933 is a wasteful number, since it uses less digits than its factorization.

961322689497933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490 (or 18477 counting only the distinct ones).

The product of its digits is 5714053632, while the sum is 81.

The spelling of 961322689497933 in words is "nine hundred sixty-one trillion, three hundred twenty-two billion, six hundred eighty-nine million, four hundred ninety-seven thousand, nine hundred thirty-three".