946877281350 has 1296 divisors, whose sum is σ = 3398984576064. Its totient is φ = 172396224000.

The previous prime is 946877281349. The next prime is 946877281351. The reversal of 946877281350 is 53182778649.

It is an interprime number because it is at equal distance from previous prime (946877281349) and next prime (946877281351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946877281351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 7228070785 + ... + 7228070915.

It is an arithmetic number, because the mean of its divisors is an integer number (2622673284).

It is a 2-persistent number, because it is pandigital, and so is 2⋅946877281350 = 1893754562700, but 3⋅946877281350 = 2840631844050 is not.

Almost surely, 2^946877281350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946877281350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699492288032).

946877281350 is an abundant number, since it is smaller than the sum of its proper divisors (2452107294714).

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

946877281350 is a wasteful number, since it uses less digits than its factorization.

946877281350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 946877281350 in words is "nine hundred forty-six billion, eight hundred seventy-seven million, two hundred eighty-one thousand, three hundred fifty".