946207350144 has 768 divisors, whose sum is σ = 3305948405760. Its totient is φ = 263811686400.

The previous prime is 946207350133. The next prime is 946207350197. The reversal of 946207350144 is 441053702649.

946207350144 is a `hidden beast` number, since 9 + 4 + 620 + 7 + 3 + 5 + 0 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 946207350144.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2536748742 + ... + 2536749114.

It is an arithmetic number, because the mean of its divisors is an integer number (4304620320).

Almost surely, 2^946207350144 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 946207350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652974202880).

946207350144 is an abundant number, since it is smaller than the sum of its proper divisors (2359741055616).

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

946207350144 is a wasteful number, since it uses less digits than its factorization.

946207350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 946207350144 in words is "nine hundred forty-six billion, two hundred seven million, three hundred fifty thousand, one hundred forty-four".