946612349280 has 384 divisors, whose sum is σ = 3655033683840. Its totient is φ = 227328491520.

The previous prime is 946612349261. The next prime is 946612349281. The reversal of 946612349280 is 82943216649.

946612349280 is a `hidden beast` number, since 9 + 4 + 6 + 6 + 12 + 349 + 280 = 666.

946612349280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946612349281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2097004 + ... + 2508116.

It is an arithmetic number, because the mean of its divisors is an integer number (9518316885).

Almost surely, 2^946612349280 is an apocalyptic number.

946612349280 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 946612349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827516841920).

946612349280 is an abundant number, since it is smaller than the sum of its proper divisors (2708421334560).

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

946612349280 is a wasteful number, since it uses less digits than its factorization.

946612349280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411191 (or 411177 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 946612349280 in words is "nine hundred forty-six billion, six hundred twelve million, three hundred forty-nine thousand, two hundred eighty".