946709889980400 has 2880 divisors, whose sum is σ = 4212611775590400. Its totient is φ = 195592320000000.

The previous prime is 946709889980381. The next prime is 946709889980411. The reversal of 946709889980400 is 4089988907649.

946709889980400 is a `hidden beast` number, since 9 + 46 + 7 + 0 + 9 + 8 + 8 + 99 + 80 + 400 = 666.

946709889980400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 946709889980400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 172097777650 + ... + 172097783150.

It is an arithmetic number, because the mean of its divisors is an integer number (1462712422080).

Almost surely, 2^{946709889980400} is an apocalyptic number.

946709889980400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946709889980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106305887795200).

946709889980400 is an abundant number, since it is smaller than the sum of its proper divisors (3265901885610000).

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

946709889980400 is a wasteful number, since it uses less digits than its factorization.

946709889980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 81.

The spelling of 946709889980400 in words is "nine hundred forty-six trillion, seven hundred nine billion, eight hundred eighty-nine million, nine hundred eighty thousand, four hundred".