912106645632000 has 14080 divisors, whose sum is σ = 4842050837944320. Its totient is φ = 165112971264000.

The previous prime is 912106645631977. The next prime is 912106645632089. The reversal of 912106645632000 is 236546601219.

912106645632000 is a `hidden beast` number, since 9 + 1 + 2 + 1 + 0 + 6 + 6 + 4 + 5 + 632 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 12494611583964 + ... + 12494611584036.

It is an arithmetic number, because the mean of its divisors is an integer number (343895656104).

Almost surely, 2^{912106645632000} is an apocalyptic number.

912106645632000 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 912106645632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421025418972160).

912106645632000 is an abundant number, since it is smaller than the sum of its proper divisors (3929944192312320).

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

912106645632000 is a wasteful number, since it uses less digits than its factorization.

912106645632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 912106645632000 in words is "nine hundred twelve trillion, one hundred six billion, six hundred forty-five million, six hundred thirty-two thousand".