946074993351768 has 320 divisors, whose sum is σ = 3103247923776000. Its totient is φ = 263634175249920.

The previous prime is 946074993351767. The next prime is 946074993351793. The reversal of 946074993351768 is 867153399470649.

946074993351768 is a `hidden beast` number, since 9 + 4 + 6 + 0 + 7 + 4 + 9 + 9 + 33 + 517 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946074993351767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 612763821 + ... + 614305827.

It is an arithmetic number, because the mean of its divisors is an integer number (9697649761800).

Almost surely, 2^{946074993351768} 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 946074993351768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551623961888000).

946074993351768 is an abundant number, since it is smaller than the sum of its proper divisors (2157172930424232).

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

946074993351768 is a wasteful number, since it uses less digits than its factorization.

946074993351768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545372 (or 1545359 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 946074993351768 in words is "nine hundred forty-six trillion, seventy-four billion, nine hundred ninety-three million, three hundred fifty-one thousand, seven hundred sixty-eight".