2112016467456 has 480 divisors, whose sum is σ = 7315888419840. Its totient is φ = 595775471616.

The previous prime is 2112016467443. The next prime is 2112016467557. The reversal of 2112016467456 is 6547646102112.

2112016467456 is a `hidden beast` number, since 2 + 1 + 120 + 16 + 4 + 67 + 456 = 666.

It is a super-2 number, since 2×2112016467456² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68786700 + ... + 68817396.

It is an arithmetic number, because the mean of its divisors is an integer number (15241434208).

Almost surely, 2^{2112016467456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112016467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657944209920).

2112016467456 is an abundant number, since it is smaller than the sum of its proper divisors (5203871952384).

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

2112016467456 is an frugal number, since it uses more digits than its factorization.

2112016467456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30816 (or 30788 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2112016467456 in words is "two trillion, one hundred twelve billion, sixteen million, four hundred sixty-seven thousand, four hundred fifty-six".