946770048000 has 1056 divisors, whose sum is σ = 3937440199680. Its totient is φ = 214283059200.

The previous prime is 946770047963. The next prime is 946770048061. The reversal of 946770048000 is 840077649.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 911231481 + ... + 911232519.

Almost surely, 2^946770048000 is an apocalyptic number.

946770048000 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 946770048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968720099840).

946770048000 is an abundant number, since it is smaller than the sum of its proper divisors (2990670151680).

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

946770048000 is a wasteful number, since it uses less digits than its factorization.

946770048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 946770048000 in words is "nine hundred forty-six billion, seven hundred seventy million, forty-eight thousand".