946999094400 has 576 divisors, whose sum is σ = 3565370016000. Its totient is φ = 238676336640.

The previous prime is 946999094389. The next prime is 946999094401. The reversal of 946999094400 is 4490999649.

946999094400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×946999094400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (946999094401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 262106994 + ... + 262110606.

It is an arithmetic number, because the mean of its divisors is an integer number (6189878500).

Almost surely, 2^946999094400 is an apocalyptic number.

946999094400 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 946999094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782685008000).

946999094400 is an abundant number, since it is smaller than the sum of its proper divisors (2618370921600).

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

946999094400 is a wasteful number, since it uses less digits than its factorization.

946999094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 946999094400 in words is "nine hundred forty-six billion, nine hundred ninety-nine million, ninety-four thousand, four hundred".