946190421792 has 756 divisors, whose sum is σ = 3571661380518. Its totient is φ = 245727820800.

The previous prime is 946190421791. The next prime is 946190421797. The reversal of 946190421792 is 297124091649.

946190421792 is a `hidden beast` number, since 9 + 4 + 61 + 90 + 421 + 79 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 705458887056 + 240731534736 = 839916^2 + 490644^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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

It is not an unprimeable number, because it can be changed into a prime (946190421791) 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 125 ways as a sum of consecutive naturals, for example, 138308292 + ... + 138315132.

Almost surely, 2^946190421792 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 946190421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785830690259).

946190421792 is an abundant number, since it is smaller than the sum of its proper divisors (2625470958726).

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

946190421792 is a wasteful number, since it uses less digits than its factorization.

946190421792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 946190421792 in words is "nine hundred forty-six billion, one hundred ninety million, four hundred twenty-one thousand, seven hundred ninety-two".