1670688014112 has 480 divisors, whose sum is σ = 5609308320000. Its totient is φ = 483245678592.

The previous prime is 1670688014087. The next prime is 1670688014113. The reversal of 1670688014112 is 2114108860761.

It is a super-2 number, since 2×1670688014112² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1670688014113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 835760889 + ... + 835762887.

It is an arithmetic number, because the mean of its divisors is an integer number (11686059000).

Almost surely, 2^{1670688014112} is an apocalyptic number.

1670688014112 is a gapful number since it is divisible by the number (12) 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 1670688014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804654160000).

1670688014112 is an abundant number, since it is smaller than the sum of its proper divisors (3938620305888).

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

1670688014112 is a wasteful number, since it uses less digits than its factorization.

1670688014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1670688014112 in words is "one trillion, six hundred seventy billion, six hundred eighty-eight million, fourteen thousand, one hundred twelve".